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solution.</title> <meta name="description" content="Search results for: periodic solution."> <meta name="keywords" content="periodic solution."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="periodic solution."> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 2724</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: periodic solution.</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2724</span> Almost Periodic Sequence Solutions of a Discrete Cooperation System with Feedback Controls</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ziping%20Li">Ziping Li</a>, <a href="https://publications.waset.org/search?q=Yongkun%20Li"> Yongkun Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we consider the almost periodic solutions of a discrete cooperation system with feedback controls. Assuming that the coefficients in the system are almost periodic sequences, we obtain the existence and uniqueness of the almost periodic solution which is uniformly asymptotically stable.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Discrete%20cooperation%20model" title="Discrete cooperation model">Discrete cooperation model</a>, <a href="https://publications.waset.org/search?q=almost%20periodic%20solution" title=" almost periodic solution"> almost periodic solution</a>, <a href="https://publications.waset.org/search?q=feedback%20control" title=" feedback control"> feedback control</a>, <a href="https://publications.waset.org/search?q=Lyapunov%20function." title=" Lyapunov function."> Lyapunov function.</a> </p> <a href="https://publications.waset.org/7340/almost-periodic-sequence-solutions-of-a-discrete-cooperation-system-with-feedback-controls" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7340/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7340/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7340/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7340/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7340/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7340/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7340/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7340/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7340/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7340/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7340.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1447</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2723</span> A Novel Approach to Positive Almost Periodic Solution of BAM Neural Networks with Time-Varying Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Lili%20Wang">Lili Wang</a>, <a href="https://publications.waset.org/search?q=Meng%20Hu"> Meng Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, based on almost periodic functional hull theory and M-matrix theory, some sufficient conditions are established for the existence and uniqueness of positive almost periodic solution for a class of BAM neural networks with time-varying delays. An example is given to illustrate the main results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Delayed%20BAM%20neural%20networks" title="Delayed BAM neural networks">Delayed BAM neural networks</a>, <a href="https://publications.waset.org/search?q=Hull%20theorem" title=" Hull theorem"> Hull theorem</a>, <a href="https://publications.waset.org/search?q=Mmatrix" title=" Mmatrix"> Mmatrix</a>, <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title=" Almost periodic solution"> Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=Global%20exponential%20stability." title=" Global exponential stability."> Global exponential stability.</a> </p> <a href="https://publications.waset.org/10963/a-novel-approach-to-positive-almost-periodic-solution-of-bam-neural-networks-with-time-varying-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10963/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10963/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10963/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10963/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10963/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10963/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10963/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10963/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10963/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10963/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10963.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1415</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2722</span> Analysis of Periodic Solution of Delay Fuzzy BAM Neural Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Qianhong%20Zhang">Qianhong Zhang</a>, <a href="https://publications.waset.org/search?q=Lihui%20Yang"> Lihui Yang</a>, <a href="https://publications.waset.org/search?q=Daixi%20Liao"> Daixi Liao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, by employing a new Lyapunov functional and an elementary inequality analysis technique, some sufficient conditions are derived to ensure the existence and uniqueness of periodic oscillatory solution for fuzzy bi-directional memory (BAM) neural networks with time-varying delays, and all other solutions of the fuzzy BAM neural networks converge the uniqueness periodic solution. These criteria are presented in terms of system parameters and have important leading significance in the design and applications of neural networks. Moreover an example is given to illustrate the effectiveness and feasible of results obtained. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20BAM%20neural%20networks" title="Fuzzy BAM neural networks">Fuzzy BAM neural networks</a>, <a href="https://publications.waset.org/search?q=Periodic%20solution" title=" Periodic solution"> Periodic solution</a>, <a href="https://publications.waset.org/search?q=Global%20exponential%20stability" title="Global exponential stability">Global exponential stability</a>, <a href="https://publications.waset.org/search?q=Time-varying%20delays" title=" Time-varying delays"> Time-varying delays</a> </p> <a href="https://publications.waset.org/1889/analysis-of-periodic-solution-of-delay-fuzzy-bam-neural-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1889/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1889/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1889/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1889/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1889/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1889/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1889/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1889/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1889/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1889/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1889.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1515</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2721</span> Periodic Solutions for a Two-prey One-predator System on Time Scales</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Changjin%20Xu">Changjin Xu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, using the Gaines and Mawhin,s continuation theorem of coincidence degree theory on time scales, the existence of periodic solutions for a two-prey one-predator system is studied. Some sufficient conditions for the existence of positive periodic solutions are obtained. The results provide unified existence theorems of periodic solution for the continuous differential equations and discrete difference equations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Time%20scales" title="Time scales">Time scales</a>, <a href="https://publications.waset.org/search?q=competitive%20system" title=" competitive system"> competitive system</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree" title=" coincidence degree"> coincidence degree</a>, <a href="https://publications.waset.org/search?q=topological%20degree." title=" topological degree."> topological degree.</a> </p> <a href="https://publications.waset.org/5256/periodic-solutions-for-a-two-prey-one-predator-system-on-time-scales" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5256/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5256/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5256/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5256/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5256/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5256/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5256/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5256/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5256/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5256/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5256.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1369</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2720</span> Almost Periodic Solution for an Impulsive Neural Networks with Distributed Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Lili%20Wang">Lili Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>By using the estimation of the Cauchy matrix of linear impulsive differential equations and Banach fixed point theorem as well as Gronwall-Bellman’s inequality, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solution for an impulsive neural networks with distributed delays. An example is presented to illustrate the feasibility and  effectiveness of the results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title="Almost periodic solution">Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=Exponential%20stability" title=" Exponential stability"> Exponential stability</a>, <a href="https://publications.waset.org/search?q=Neural%20networks" title=" Neural networks"> Neural networks</a>, <a href="https://publications.waset.org/search?q=Impulses." title=" Impulses."> Impulses.</a> </p> <a href="https://publications.waset.org/17002/almost-periodic-solution-for-an-impulsive-neural-networks-with-distributed-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17002/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17002/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17002/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17002/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17002/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17002/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17002/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17002/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/17002/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/17002/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/17002.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1615</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2719</span> Existence and Exponential Stability of Almost Periodic Solution for Recurrent Neural Networks on Time Scales</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Lili%20Wang">Lili Wang</a>, <a href="https://publications.waset.org/search?q=Meng%20Hu"> Meng Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a class of recurrent neural networks (RNNs) with variable delays are studied on almost periodic time scales, some sufficient conditions are established for the existence and global exponential stability of the almost periodic solution. These results have important leading significance in designs and applications of RNNs. Finally, two examples and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Recurrent%20neural%20network" title="Recurrent neural network">Recurrent neural network</a>, <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title=" Almost periodic solution"> Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=Global%20exponential%20stability" title=" Global exponential stability"> Global exponential stability</a>, <a href="https://publications.waset.org/search?q=Time%20scale." title=" Time scale."> Time scale.</a> </p> <a href="https://publications.waset.org/5963/existence-and-exponential-stability-of-almost-periodic-solution-for-recurrent-neural-networks-on-time-scales" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5963/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5963/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5963/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5963/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5963/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5963/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5963/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5963/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5963/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5963/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5963.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1409</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2718</span> Almost Periodic Solution for a Food-limited Population Model with Delay and Feedback Control</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xiaoyan%20Dou">Xiaoyan Dou</a>, <a href="https://publications.waset.org/search?q=Yongkun%20Li"> Yongkun Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we consider a food-limited population model with delay and feedback control. By applying the comparison theorem of the differential equation and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title="Almost periodic solution">Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=food-limited%20population" title=" food-limited population"> food-limited population</a>, <a href="https://publications.waset.org/search?q=feedback%20control" title=" feedback control"> feedback control</a>, <a href="https://publications.waset.org/search?q=permanence." title=" permanence."> permanence.</a> </p> <a href="https://publications.waset.org/833/almost-periodic-solution-for-a-food-limited-population-model-with-delay-and-feedback-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/833/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/833/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/833/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/833/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/833/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/833/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/833/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/833/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/833/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/833/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/833.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1959</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2717</span> Existence and Exponential Stability of Almost Periodic Solution for Cohen-Grossberg SICNNs with Impulses</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Meng%20Hu">Meng Hu</a>, <a href="https://publications.waset.org/search?q=Lili%20Wang"> Lili Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, based on the estimation of the Cauchy matrix of linear impulsive differential equations, by using Banach fixed point theorem and Gronwall-Bellman-s inequality, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solution for Cohen-Grossberg shunting inhibitory cellular neural networks (SICNNs) with continuously distributed delays and impulses. An example is given to illustrate the main results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title="Almost periodic solution">Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=exponential%20stability" title=" exponential stability"> exponential stability</a>, <a href="https://publications.waset.org/search?q=neural%20networks" title=" neural networks"> neural networks</a>, <a href="https://publications.waset.org/search?q=impulses." title=" impulses."> impulses.</a> </p> <a href="https://publications.waset.org/3113/existence-and-exponential-stability-of-almost-periodic-solution-for-cohen-grossberg-sicnns-with-impulses" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3113/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3113/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3113/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3113/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3113/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3113/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3113/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3113/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3113/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3113/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3113.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">14332</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2716</span> Positive Almost Periodic Solutions for Neural Multi-Delay Logarithmic Population Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zhouhong%20Li">Zhouhong Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, by applying Mawhin-s continuation theorem of coincidence degree theory, we study the existence of almost periodic solutions for neural multi-delay logarithmic population model and obtain one sufficient condition for the existence of positive almost periodic solution for the above equation. An example is employed to illustrate our result.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title="Almost periodic solution">Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=Multi-delay" title=" Multi-delay"> Multi-delay</a>, <a href="https://publications.waset.org/search?q=Logarithmic%20population%20model" title=" Logarithmic population model"> Logarithmic population model</a>, <a href="https://publications.waset.org/search?q=Coincidence%20degree." title=" Coincidence degree."> Coincidence degree.</a> </p> <a href="https://publications.waset.org/6028/positive-almost-periodic-solutions-for-neural-multi-delay-logarithmic-population-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6028/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6028/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6028/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6028/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6028/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6028/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6028/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6028/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6028/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6028/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6028.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1435</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2715</span> Positive Periodic Solutions for a Neutral Impulsive Delay Competition System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Daiming%20Wang">Daiming Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a neutral impulsive competition system with distributed delays is studied by using Mawhin-s coincidence degree theory and the mean value theorem of differential calculus. Sufficient conditions on the existence of positive periodic solution of the system are obtained.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Neutral%20impulsive%20delay%20system" title="Neutral impulsive delay system">Neutral impulsive delay system</a>, <a href="https://publications.waset.org/search?q=competitive%20system" title=" competitive system"> competitive system</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree" title=" coincidence degree"> coincidence degree</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=existence." title=" existence."> existence.</a> </p> <a href="https://publications.waset.org/13056/positive-periodic-solutions-for-a-neutral-impulsive-delay-competition-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13056/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13056/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13056/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13056/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13056/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13056/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13056/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13056/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13056/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13056/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13056.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1507</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2714</span> Permanence and Almost Periodic Solutions to an Epidemic Model with Delay and Feedback Control</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Chenxi%20Yang">Chenxi Yang</a>, <a href="https://publications.waset.org/search?q=Zhouhong%20Li"> Zhouhong Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper is concerned with an epidemic model with delay. By using the comparison theorem of the differential equation and constructing a suitable Lyapunov functional, Some sufficient conditions which guarantee the permeance and existence of a unique globally attractive positive almost periodic solution of the model are obtain. Finally, an example is employed to illustrate our result.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Permanence" title="Permanence">Permanence</a>, <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title=" Almost periodic solution"> Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=Epidemic%0D%0Amodel" title=" Epidemic model"> Epidemic model</a>, <a href="https://publications.waset.org/search?q=Delay" title=" Delay"> Delay</a>, <a href="https://publications.waset.org/search?q=Feedback%20control." title=" Feedback control."> Feedback control.</a> </p> <a href="https://publications.waset.org/9997884/permanence-and-almost-periodic-solutions-to-an-epidemic-model-with-delay-and-feedback-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997884/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997884/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997884/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997884/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997884/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997884/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997884/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997884/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997884/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997884/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997884.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1550</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2713</span> Pseudo-almost Periodic Solutions of a Class Delayed Chaotic Neural Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Farouk%20Cherif">Farouk Cherif </a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper is concerned with the existence and unique¬ness of pseudo-almost periodic solutions to the chaotic delayed neural networks (t)= —Dx(t) ± A f (x (t)) B f (x (t — r)) C f (x(p))dp J (t) . t-o Under some suitable assumptions on A, B, C, D, J and f, the existence and uniqueness of a pseudo-almost periodic solution to equation above is obtained. The results of this paper are new and they complement previously known results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaotic%20neural%20network" title="Chaotic neural network">Chaotic neural network</a>, <a href="https://publications.waset.org/search?q=Hamiltonian%20systems" title="Hamiltonian systems">Hamiltonian systems</a>, <a href="https://publications.waset.org/search?q=Pseudo%20almost%20periodic." title=" Pseudo almost periodic."> Pseudo almost periodic.</a> </p> <a href="https://publications.waset.org/1713/pseudo-almost-periodic-solutions-of-a-class-delayed-chaotic-neural-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1713/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1713/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1713/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1713/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1713/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1713/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1713/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1713/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1713/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1713/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1713.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1310</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2712</span> Multiple Periodic Solutions for a Delayed Predator-prey System on Time Scales</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xiaoquan%20Ding">Xiaoquan Ding</a>, <a href="https://publications.waset.org/search?q=Jianmin%20Hao"> Jianmin Hao</a>, <a href="https://publications.waset.org/search?q=Changwen%20Liu"> Changwen Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper is devoted to a delayed periodic predatorprey system with non-monotonic numerical response on time scales. With the help of a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of multiple periodic solutions. As corollaries, some applications are listed. In particular, our results improve and generalize some known ones.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Predator-prey%20system" title="Predator-prey system">Predator-prey system</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=time%20scale" title=" time scale"> time scale</a>, <a href="https://publications.waset.org/search?q=delay" title=" delay"> delay</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree." title=" coincidence degree."> coincidence degree.</a> </p> <a href="https://publications.waset.org/3268/multiple-periodic-solutions-for-a-delayed-predator-prey-system-on-time-scales" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3268/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3268/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3268/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3268/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3268/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3268/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3268/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3268/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3268/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3268/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3268.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1370</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2711</span> Application of He-s Amplitude Frequency Formulation for a Nonlinear Oscillator with Fractional Potential</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Meng%20Hu">Meng Hu</a>, <a href="https://publications.waset.org/search?q=Lili%20Wang"> Lili Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, He-s amplitude frequency formulation is used to obtain a periodic solution for a nonlinear oscillator with fractional potential. By calculation and computer simulations, compared with the exact solution shows that the result obtained is of high accuracy.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=He%27s%20amplitude%20frequency%20formulation" title="He's amplitude frequency formulation">He's amplitude frequency formulation</a>, <a href="https://publications.waset.org/search?q=Periodic%20solution" title=" Periodic solution"> Periodic solution</a>, <a href="https://publications.waset.org/search?q=Nonlinear%20oscillator" title=" Nonlinear oscillator"> Nonlinear oscillator</a>, <a href="https://publications.waset.org/search?q=Fractional%20potential." title=" Fractional potential."> Fractional potential.</a> </p> <a href="https://publications.waset.org/14017/application-of-he-s-amplitude-frequency-formulation-for-a-nonlinear-oscillator-with-fractional-potential" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14017/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14017/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14017/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14017/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14017/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14017/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14017/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14017/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14017/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14017/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14017.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1368</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2710</span> Multiple Positive Periodic Solutions to a Predator-prey system with Harvesting Terms and Holling II Type Functional Response</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Pan%20Wang">Pan Wang</a>, <a href="https://publications.waset.org/search?q=Yongkun%20Li"> Yongkun Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a periodic predator-prey system with harvesting terms and Holling II type functional response is considered. Sufficient criteria for the existence of at least sixteen periodic solutions are established by using the well known continuation theorem due to Mawhin. An example is given to illustrate the main result.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Periodic%20solution" title="Periodic solution">Periodic solution</a>, <a href="https://publications.waset.org/search?q=predator-prey%20system" title=" predator-prey system"> predator-prey system</a>, <a href="https://publications.waset.org/search?q=harvesting%20terms" title=" harvesting terms"> harvesting terms</a>, <a href="https://publications.waset.org/search?q=continuation%20theorem." title=" continuation theorem."> continuation theorem.</a> </p> <a href="https://publications.waset.org/11513/multiple-positive-periodic-solutions-to-a-predator-prey-system-with-harvesting-terms-and-holling-ii-type-functional-response" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11513/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11513/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11513/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11513/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11513/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11513/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11513/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11513/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11513/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11513/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11513.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1286</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2709</span> 2n Almost Periodic Attractors for Cohen-Grossberg Neural Networks with Variable and Distribute Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Meng%20Hu">Meng Hu</a>, <a href="https://publications.waset.org/search?q=Lili%20Wang"> Lili Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we investigate dynamics of 2n almost periodic attractors for Cohen-Grossberg neural networks (CGNNs) with variable and distribute time delays. By imposing some new assumptions on activation functions and system parameters, we split invariant basin of CGNNs into 2n compact convex subsets. Then the existence of 2n almost periodic solutions lying in compact convex subsets is attained due to employment of the theory of exponential dichotomy and Schauder-s fixed point theorem. Meanwhile, we derive some new criteria for the networks to converge toward these 2n almost periodic solutions and exponential attracting domains are also given correspondingly.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=CGNNs" title="CGNNs">CGNNs</a>, <a href="https://publications.waset.org/search?q=almost%20periodic%20solution" title=" almost periodic solution"> almost periodic solution</a>, <a href="https://publications.waset.org/search?q=invariant%20basins" title=" invariant basins"> invariant basins</a>, <a href="https://publications.waset.org/search?q=attracting%20domains." title=" attracting domains."> attracting domains.</a> </p> <a href="https://publications.waset.org/12400/2n-almost-periodic-attractors-for-cohen-grossberg-neural-networks-with-variable-and-distribute-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12400/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12400/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12400/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12400/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12400/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12400/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12400/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12400/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12400/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12400/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12400.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1381</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2708</span> Existence of Periodic Solution for p-Laplacian Neutral Rayleigh Equation with Sign-variable Coefficient of Non Linear Term</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Aomar%20Anane">Aomar Anane</a>, <a href="https://publications.waset.org/search?q=Omar%20Chakrone"> Omar Chakrone</a>, <a href="https://publications.waset.org/search?q=Loubna%20Moutaouekkil"> Loubna Moutaouekkil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>As p-Laplacian equations have been widely applied in field of the fluid mechanics and nonlinear elastic mechanics, it is necessary to investigate the periodic solutions of functional differential equations involving the scalar p-Laplacian. By using Mawhin’s continuation theorem, we study the existence of periodic solutions for p-Laplacian neutral Rayleigh equation (ϕp(x(t)−c(t)x(t − r))) + f(x(t)) + g1(x(t − τ1(t, |x|∞))) + β(t)g2(x(t − τ2(t, |x|∞))) = e(t), It is meaningful that the functions c(t) and β(t) are allowed to change signs in this paper, which are different from the corresponding ones of known literature.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=periodic%20solution" title="periodic solution">periodic solution</a>, <a href="https://publications.waset.org/search?q=neutral%20Rayleigh%20equation" title=" neutral Rayleigh equation"> neutral Rayleigh equation</a>, <a href="https://publications.waset.org/search?q=variable%0D%0Asign" title=" variable sign"> variable sign</a>, <a href="https://publications.waset.org/search?q=Deviating%20argument" title=" Deviating argument"> Deviating argument</a>, <a href="https://publications.waset.org/search?q=p-Laplacian" title=" p-Laplacian"> p-Laplacian</a>, <a href="https://publications.waset.org/search?q=Mawhin%E2%80%99s%20continuation." title=" Mawhin’s continuation."> Mawhin’s continuation.</a> </p> <a href="https://publications.waset.org/17004/existence-of-periodic-solution-for-p-laplacian-neutral-rayleigh-equation-with-sign-variable-coefficient-of-non-linear-term" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17004/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17004/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17004/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17004/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17004/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17004/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17004/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17004/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/17004/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/17004/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/17004.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1379</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2707</span> Periodic Solutions in a Delayed Competitive System with the Effect of Toxic Substances on Time Scales</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Changjin%20Xu">Changjin Xu</a>, <a href="https://publications.waset.org/search?q=Qianhong%20Zhang"> Qianhong Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, the existence of periodic solutions of a delayed competitive system with the effect of toxic substances is investigated by using the Gaines and Mawhin,s continuation theorem of coincidence degree theory on time scales. New sufficient conditions are obtained for the existence of periodic solutions. The approach is unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations. Moreover, The approach has been widely applied to study existence of periodic solutions in differential equations and difference equations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Time%20scales" title="Time scales">Time scales</a>, <a href="https://publications.waset.org/search?q=competitive%20system" title=" competitive system"> competitive system</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree" title=" coincidence degree"> coincidence degree</a>, <a href="https://publications.waset.org/search?q=topological%20degree." title=" topological degree."> topological degree.</a> </p> <a href="https://publications.waset.org/15291/periodic-solutions-in-a-delayed-competitive-system-with-the-effect-of-toxic-substances-on-time-scales" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15291/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15291/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15291/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15291/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15291/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15291/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15291/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15291/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15291/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15291/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15291.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1400</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2706</span> Periodic Solutions for a Third-order p-Laplacian Functional Differential Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yanling%20Zhu">Yanling Zhu</a>, <a href="https://publications.waset.org/search?q=Kai%20Wang"> Kai Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>By means of Mawhin’s continuation theorem, we study a kind of third-order p-Laplacian functional differential equation with distributed delay in the form: ϕp(x (t)) = g t, 0 −τ x(t + s) dα(s) + e(t), some criteria to guarantee the existence of periodic solutions are obtained.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=p%E2%80%93Laplacian" title="p–Laplacian">p–Laplacian</a>, <a href="https://publications.waset.org/search?q=distributed%20delay" title=" distributed delay"> distributed delay</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=Mawhin%27s%20continuation%20theorem." title=" Mawhin's continuation theorem."> Mawhin's continuation theorem.</a> </p> <a href="https://publications.waset.org/9542/periodic-solutions-for-a-third-order-p-laplacian-functional-differential-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9542/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9542/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9542/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9542/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9542/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9542/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9542/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9542/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9542/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9542/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9542.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1289</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2705</span> Equatorial Symmetry of Chaotic Solutions in Boussinesq Convection in a Rotating Spherical Shell</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Keiji%20Kimura">Keiji Kimura</a>, <a href="https://publications.waset.org/search?q=Shin-ichi%20Takehiro"> Shin-ichi Takehiro</a>, <a href="https://publications.waset.org/search?q=Michio%20Yamada"> Michio Yamada</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We investigate properties of convective solutions of the Boussinesq thermal convection in a moderately rotating spherical shell allowing the inner and outer sphere rotation due to the viscous torque of the fluid. The ratio of the inner and outer radii of the spheres, the Prandtl number and the Taylor number are fixed to 0.4, 1 and 5002, respectively. The inertial moments of the inner and outer spheres are fixed to about 0.22 and 100, respectively. The Rayleigh number is varied from 2.6 × 104 to 3.4 × 104. In this parameter range, convective solutions transit from equatorially symmetric quasiperiodic ones to equatorially asymmetric chaotic ones as the Rayleigh number is increased. The transition route in the system allowing rotation of both the spheres is different from that in the co-rotating system, which means the inner and outer spheres rotate with the same constant angular velocity: the convective solutions transit as equatorially symmetric quasi-periodic solution → equatorially symmetric chaotic solution → equatorially asymmetric chaotic solution in the system allowing both the spheres rotation, while equatorially symmetric quasi-periodic solution → equatorially asymmetric quasiperiodic solution → equatorially asymmetric chaotic solution in the co-rotating system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=thermal%20convection" title="thermal convection">thermal convection</a>, <a href="https://publications.waset.org/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a>, <a href="https://publications.waset.org/search?q=equatorial%0Asymmetry" title=" equatorial symmetry"> equatorial symmetry</a>, <a href="https://publications.waset.org/search?q=quasi-periodic%20solution" title=" quasi-periodic solution"> quasi-periodic solution</a>, <a href="https://publications.waset.org/search?q=chaotic%20solution" title=" chaotic solution"> chaotic solution</a> </p> <a href="https://publications.waset.org/14322/equatorial-symmetry-of-chaotic-solutions-in-boussinesq-convection-in-a-rotating-spherical-shell" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14322/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14322/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14322/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14322/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14322/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14322/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14322/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14322/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14322/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14322/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14322.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1587</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2704</span> Periodic Solutions for a Higher Order Nonlinear Neutral Functional Differential Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yanling%20Zhu">Yanling Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a higher order nonlinear neutral functional differential equation with distributed delay is studied by using the continuation theorem of coincidence degree theory. Some new results on the existence of periodic solutions are obtained.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Neutral%20functional%20differential%20equation" title="Neutral functional differential equation">Neutral functional differential equation</a>, <a href="https://publications.waset.org/search?q=higher%20order" title=" higher order"> higher order</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree%20theory." title=" coincidence degree theory."> coincidence degree theory.</a> </p> <a href="https://publications.waset.org/15240/periodic-solutions-for-a-higher-order-nonlinear-neutral-functional-differential-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15240/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15240/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15240/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15240/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15240/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15240/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15240/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15240/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15240/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15240/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15240.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1263</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2703</span> Periodic Storage Control Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ru-Shuo%20Sheu">Ru-Shuo Sheu</a>, <a href="https://publications.waset.org/search?q=Han-Hsin%20Chou"> Han-Hsin Chou</a>, <a href="https://publications.waset.org/search?q=Te-Shyang%20Tan"> Te-Shyang Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Considering a reservoir with periodic states and different cost functions with penalty, its release rules can be modeled as a periodic Markov decision process (PMDP). First, we prove that policy- iteration algorithm also works for the PMDP. Then, with policy- iteration algorithm, we obtain the optimal policies for a special aperiodic reservoir model with two cost functions under large penalty and give a discussion when the penalty is small. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=periodic%20Markov%20decision%20process" title="periodic Markov decision process">periodic Markov decision process</a>, <a href="https://publications.waset.org/search?q=periodic%0Astate" title=" periodic state"> periodic state</a>, <a href="https://publications.waset.org/search?q=policy-iteration%20algorithm." title=" policy-iteration algorithm."> policy-iteration algorithm.</a> </p> <a href="https://publications.waset.org/3555/periodic-storage-control-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3555/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3555/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3555/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3555/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3555/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3555/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3555/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3555/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3555/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3555/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3555.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1243</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2702</span> Robust Conversion of Chaos into an Arbitrary Periodic Motion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abolhassan%20Razminia">Abolhassan Razminia</a>, <a href="https://publications.waset.org/search?q=Mohammad-Ali%20Sadrnia"> Mohammad-Ali Sadrnia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>One of the most attractive and important field of chaos theory is control of chaos. In this paper, we try to present a simple framework for chaotic motion control using the feedback linearization method. Using this approach, we derive a strategy, which can be easily applied to the other chaotic systems. This task presents two novel results: the desired periodic orbit need not be a solution of the original dynamics and the other is the robustness of response against parameter variations. The illustrated simulations show the ability of these. In addition, by a comparison between a conventional state feedback and our proposed method it is demonstrated that the introduced technique is more efficient.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=chaos" title="chaos">chaos</a>, <a href="https://publications.waset.org/search?q=feedback%20linearization" title=" feedback linearization"> feedback linearization</a>, <a href="https://publications.waset.org/search?q=robust%20control" title=" robust control"> robust control</a>, <a href="https://publications.waset.org/search?q=periodic%20motion." title="periodic motion.">periodic motion.</a> </p> <a href="https://publications.waset.org/10775/robust-conversion-of-chaos-into-an-arbitrary-periodic-motion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10775/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10775/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10775/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10775/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10775/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10775/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10775/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10775/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10775/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10775/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10775.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1697</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2701</span> Evaluating Spectral Relationships between Signals by Removing the Contribution of a Common, Periodic Source A Partial Coherence-based Approach </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Antonio%20Mauricio%20F.%20L.%20Miranda%20de%20S%C3%A1">Antonio Mauricio F. L. Miranda de Sá</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Partial coherence between two signals removing the contribution of a periodic, deterministic signal is proposed for evaluating the interrelationship in multivariate systems. The estimator expression was derived and shown to be independent of such periodic signal. Simulations were used for obtaining its critical value, which were found to be the same as those for Gaussian signals, as well as for evaluating the technique. An Illustration with eletroencephalografic (EEG) signals during photic stimulation is also provided. The application of the proposed technique in both simulation and real EEG data indicate that it seems to be very specific in removing the contribution of periodic sources. The estimate independence of the periodic signal may widen partial coherence application to signal analysis, since it could be used together with simple coherence to test for contamination in signals by a common, periodic noise source.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Partial%20coherence" title="Partial coherence">Partial coherence</a>, <a href="https://publications.waset.org/search?q=periodic%20input" title=" periodic input"> periodic input</a>, <a href="https://publications.waset.org/search?q=spectral%20analysis" title=" spectral analysis"> spectral analysis</a>, <a href="https://publications.waset.org/search?q=statistical%20signal%20processing." title="statistical signal processing.">statistical signal processing.</a> </p> <a href="https://publications.waset.org/11173/evaluating-spectral-relationships-between-signals-by-removing-the-contribution-of-a-common-periodic-source-a-partial-coherence-based-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11173/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11173/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11173/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11173/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11173/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11173/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11173/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11173/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11173/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11173/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11173.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1464</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2700</span> Periodic Solutions for a Delayed Population Model on Time Scales</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Kejun%20Zhuang">Kejun Zhuang</a>, <a href="https://publications.waset.org/search?q=Zhaohui%20Wen"> Zhaohui Wen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper deals with a delayed single population model on time scales. With the assistance of coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. Furthermore, the better estimations for bounds of periodic solutions are established.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Coincidence%20degree" title="Coincidence degree">Coincidence degree</a>, <a href="https://publications.waset.org/search?q=continuation%20theorem" title=" continuation theorem"> continuation theorem</a>, <a href="https://publications.waset.org/search?q=periodic%20solutions" title=" periodic solutions"> periodic solutions</a>, <a href="https://publications.waset.org/search?q=time%20scales" title=" time scales"> time scales</a> </p> <a href="https://publications.waset.org/6326/periodic-solutions-for-a-delayed-population-model-on-time-scales" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6326/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6326/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6326/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6326/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6326/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6326/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6326/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6326/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6326/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6326/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6326.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1348</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2699</span> Periodic Solutions for a Food Chain System with Monod–Haldane Functional Response on Time Scales</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Kejun%20Zhuang">Kejun Zhuang</a>, <a href="https://publications.waset.org/search?q=Hailong%20Zhu"> Hailong Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, the three species food chain model on time scales is established. The Monod–Haldane functional response and time delay are considered. With the help of coincidence degree theory, existence of periodic solutions is investigated, which unifies the continuous and discrete analogies.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Food%20chain%20system" title="Food chain system">Food chain system</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=time%20scales" title=" time scales"> time scales</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree." title=" coincidence degree."> coincidence degree.</a> </p> <a href="https://publications.waset.org/16994/periodic-solutions-for-a-food-chain-system-with-monod-haldane-functional-response-on-time-scales" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16994/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16994/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16994/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16994/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16994/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16994/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16994/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16994/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16994/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16994/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16994.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">8470</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2698</span> Anti-periodic Solutions for Cohen-Grossberg Shunting Inhibitory Neural Networks with Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yongkun%20Li">Yongkun Li</a>, <a href="https://publications.waset.org/search?q=Tianwei%20Zhang"> Tianwei Zhang</a>, <a href="https://publications.waset.org/search?q=Shufa%20Bai"> Shufa Bai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>By using the method of coincidence degree theory and constructing suitable Lyapunov functional, several sufficient conditions are established for the existence and global exponential stability of anti-periodic solutions for Cohen-Grossberg shunting inhibitory neural networks with delays. An example is given to illustrate our feasible results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Anti-periodic%20solution" title="Anti-periodic solution">Anti-periodic solution</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree" title=" coincidence degree"> coincidence degree</a>, <a href="https://publications.waset.org/search?q=global%20exponential%20stability" title=" global exponential stability"> global exponential stability</a>, <a href="https://publications.waset.org/search?q=Cohen-Grossberg%20shunting%20inhibitory%20cellular%20neural%20networks." title=" Cohen-Grossberg shunting inhibitory cellular neural networks."> Cohen-Grossberg shunting inhibitory cellular neural networks.</a> </p> <a href="https://publications.waset.org/4285/anti-periodic-solutions-for-cohen-grossberg-shunting-inhibitory-neural-networks-with-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4285/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4285/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4285/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4285/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4285/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4285/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4285/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4285/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4285/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4285/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4285.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1504</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2697</span> Defuzzification of Periodic Membership Function on Circular Coordinates</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Takashi%20Mitsuishi">Takashi Mitsuishi</a>, <a href="https://publications.waset.org/search?q=Koji%20Saigusa"> Koji Saigusa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper presents circular polar coordinates transformation of periodic fuzzy membership function. The purpose is identification of domain of periodic membership functions in consequent part of IF-THEN rules. Proposed methods in this paper remove complicatedness concerning domain of periodic membership function from defuzzification in fuzzy approximate reasoning. Defuzzification on circular polar coordinates is also proposed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Defuzzification" title="Defuzzification">Defuzzification</a>, <a href="https://publications.waset.org/search?q=periodic%20membership%20function" title=" periodic membership function"> periodic membership function</a>, <a href="https://publications.waset.org/search?q=polar%0D%0Acoordinates%20transformation." title=" polar coordinates transformation."> polar coordinates transformation.</a> </p> <a href="https://publications.waset.org/9999436/defuzzification-of-periodic-membership-function-on-circular-coordinates" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999436/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999436/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999436/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999436/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999436/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999436/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999436/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999436/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999436/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999436/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999436.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2080</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2696</span> Positive Periodic Solutions for a Predator-prey Model with Modified Leslie-Gower Holling-type II Schemes and a Deviating Argument</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yanling%20Zhu">Yanling Zhu</a>, <a href="https://publications.waset.org/search?q=Kai%20Wang"> Kai Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, by utilizing the coincidence degree theorem a predator-prey model with modified Leslie-Gower Hollingtype II schemes and a deviating argument is studied. Some sufficient conditions are obtained for the existence of positive periodic solutions of the model.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Predator-prey%20model" title="Predator-prey model">Predator-prey model</a>, <a href="https://publications.waset.org/search?q=Holling%20II%20type%20functional%20response" title=" Holling II type functional response"> Holling II type functional response</a>, <a href="https://publications.waset.org/search?q=positive%20periodic%20solution" title=" positive periodic solution"> positive periodic solution</a>, <a href="https://publications.waset.org/search?q=coincidence%20degree%20theorem." title=" coincidence degree theorem."> coincidence degree theorem.</a> </p> <a href="https://publications.waset.org/6973/positive-periodic-solutions-for-a-predator-prey-model-with-modified-leslie-gower-holling-type-ii-schemes-and-a-deviating-argument" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6973/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6973/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6973/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6973/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6973/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6973/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6973/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6973/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6973/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6973/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6973.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1462</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2695</span> Extension of the Client-Centric Approach under Small Buffer Space</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hsiang-Fu%20Yu">Hsiang-Fu Yu</a>, <a href="https://publications.waset.org/search?q=Yu-Chan%20Hsu"> Yu-Chan Hsu</a>, <a href="https://publications.waset.org/search?q=Chun%20Fang"> Chun Fang</a>, <a href="https://publications.waset.org/search?q=Hao-Yun%20Yang"> Hao-Yun Yang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Periodic broadcast is a cost-effective solution for large-scale distribution of popular videos because this approach guarantees constant worst service latency, regardless of the number of video requests. An essential periodic broadcast method is the client-centric approach (CCA), which allows clients to use smaller receiving bandwidth to download broadcast data. An enhanced version, namely CCA++, was proposed to yield a shorter waiting time. This work further improves CCA++ in reducing client buffer requirements. The new scheme decreases the buffer requirements by as much as 52% when compared to CCA++. This study also provides an analytical evaluation to demonstrate the performance advantage, as compared with particular schemes.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Periodic%20broadcast" title="Periodic broadcast">Periodic broadcast</a>, <a href="https://publications.waset.org/search?q=client-centric%20approach" title=" client-centric approach"> client-centric approach</a>, <a href="https://publications.waset.org/search?q=buffer%20space" title=" buffer space"> buffer space</a>, <a href="https://publications.waset.org/search?q=multimedia%20communications." title=" multimedia communications."> multimedia communications.</a> </p> <a href="https://publications.waset.org/17192/extension-of-the-client-centric-approach-under-small-buffer-space" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17192/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a 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