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bifurcation</title> <meta name="description" content="Search results for: Eckhaus bifurcation"> <meta name="keywords" content="Eckhaus bifurcation"> <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/abstracts/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="Eckhaus bifurcation"> <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> 113</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Eckhaus bifurcation</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">113</span> Bifurcation Curve for Semipositone Problem with Minkowski-Curvature Operator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shao-Yuan%20Huang">Shao-Yuan Huang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the shape of the bifurcation curve of positive solutions for the semipositone problem with the Minkowski-curvature operator. The Minkowski-curvature problem plays an important role in certain fundamental issues in differential geometry and in the special theory of relativity. In addition, it is well known that studying the multiplicity of positive solutions is equivalent to studying the shape of the bifurcation curve. By the shape of the bifurcation curve, we can understand the change in the multiplicity of positive solutions with varying parameters. In this paper, our main technique is a time-map method used in Corsato's PhD Thesis. By this method, studying the shape of the bifurcation curve is equivalent to studying the shape of a certain function T with improper integral. Generally speaking, it is difficult to study the shape of T. So, in this paper, we consider two cases that the nonlinearity is convex or concave. Thus we obtain the following results: (i) If f''(u) < 0 for u > 0, then the bifurcation curve is C-shaped. (ii) If f''(u) > 0 for u > 0, then there exists η>β such that the bifurcation curve does not exist for 0 <L≤ η and is C- like shaped for L>η. Furthermore, we prove that the bifurcation is C-shaped for L > η under a certain condition. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bifurcation%20curve" title="bifurcation curve">bifurcation curve</a>, <a href="https://publications.waset.org/abstracts/search?q=Minkowski-curvature%20problem" title=" Minkowski-curvature problem"> Minkowski-curvature problem</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20solution" title=" positive solution"> positive solution</a>, <a href="https://publications.waset.org/abstracts/search?q=time-map%20method" title=" time-map method"> time-map method</a> </p> <a href="https://publications.waset.org/abstracts/159183/bifurcation-curve-for-semipositone-problem-with-minkowski-curvature-operator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159183.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">103</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">112</span> Analyzing a Tourism System by Bifurcation Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amin%20Behradfar">Amin Behradfar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> ‎Tourism has a direct impact on the national revenue for all touristic countries. It creates work opportunities‎, ‎industries‎, ‎and several investments to serve and raise nations performance and cultures. ‎This paper is devoted to analyze dynamical behaviour of a four-dimensional non-linear tourism-based social-ecological system by using the codimension two bifurcation theory‎. ‎In fact we investigate the cusp bifurcation of that‎. ‎Implications of our mathematical results to the tourism‎ ‎industry are discussed‎. Moreover, profitability‎, ‎compatibility and sustainability of the tourism system are shown by the aid of cusp bifurcation and numerical techniques‎. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=tourism-based%20social-ecological%20dynamical%20systems" title="tourism-based social-ecological dynamical systems">tourism-based social-ecological dynamical systems</a>, <a href="https://publications.waset.org/abstracts/search?q=cusp%20bifurcation" title=" cusp bifurcation"> cusp bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=center%20manifold%20theory" title=" center manifold theory"> center manifold theory</a>, <a href="https://publications.waset.org/abstracts/search?q=profitability" title=" profitability"> profitability</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%80%8Ecompatibility" title=" ‎compatibility"> ‎compatibility</a>, <a href="https://publications.waset.org/abstracts/search?q=sustainability" title=" sustainability"> sustainability</a> </p> <a href="https://publications.waset.org/abstracts/47209/analyzing-a-tourism-system-by-bifurcation-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47209.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">502</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">111</span> Existence and Stability of Periodic Traveling Waves in a Bistable Excitable System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Osman%20Gani">M. Osman Gani</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Ferdows"> M. Ferdows</a>, <a href="https://publications.waset.org/abstracts/search?q=Toshiyuki%20Ogawa"> Toshiyuki Ogawa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we proposed a modified FHN-type reaction-diffusion system for a bistable excitable system by adding a scaled function obtained from a given function. We study the existence and the stability of the periodic traveling waves (or wavetrains) for the FitzHugh-Nagumo (FHN) system and the modified one and compare the results. The stability results of the periodic traveling waves (PTWs) indicate that most of the solutions in the fast family of the PTWs are stable for the FitzHugh-Nagumo equations. The instability occurs only in the waves having smaller periods. However, the smaller period waves are always unstable. The fast family with sufficiently large periods is always stable in FHN model. We find that the oscillation of pulse widths is absent in the standard FHN model. That motivates us to study the PTWs in the proposed FHN-type reaction-diffusion system for the bistable excitable media. A good agreement is found between the solutions of the traveling wave ODEs and the corresponding whole PDE simulation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bistable%20system" title="bistable system">bistable system</a>, <a href="https://publications.waset.org/abstracts/search?q=Eckhaus%20bifurcation" title=" Eckhaus bifurcation"> Eckhaus bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=excitable%20media" title=" excitable media"> excitable media</a>, <a href="https://publications.waset.org/abstracts/search?q=FitzHugh-Nagumo%20model" title=" FitzHugh-Nagumo model"> FitzHugh-Nagumo model</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20traveling%20waves" title=" periodic traveling waves"> periodic traveling waves</a> </p> <a href="https://publications.waset.org/abstracts/85926/existence-and-stability-of-periodic-traveling-waves-in-a-bistable-excitable-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/85926.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">185</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">110</span> Study of Bifurcation Curve with Aspect Ratio at Low Reynolds Number</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amit%20K.%20Singh">Amit K. Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Subhankar%20Sen"> Subhankar Sen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The bifurcation curve of separation in steady two-dimensional viscous flow past an elliptic cylinder is studied by varying the angle of incidence (α) with different aspect ratio (ratio of minor to major axis). The solutions are based on numerical investigation, using finite element analysis, of the Navier-Stokes equations for incompressible flow. Results are presented for Reynolds number up to 50 and angle of incidence varies from 0° to 90°. Range of aspect ratio (Ar) is from 0.1 to 1 (in steps of 0.1) and flow is considered as unbounded flow. Bifurcation curve represents the locus of Reynolds numbers (Res) at which flow detaches or separates from the surface of the body at a given α and Ar. In earlier studies, effect of Ar on laminar separation curve or bifurcation curve is limited for Ar = 0.1, 0.2, 0.5 and 0.8. Some results are also available at α = 90° and 45°. The present study attempts to provide a systematic data and clear understanding on the effect of Ar at bifurcation curve and its point of maxima. In addition, issues regarding location of separation angle and maximum ratio of coefficient of lift to drag are studied. We found that nature of curve, separation angle and maximum ratio of lift to drag changes considerably with respect to change in Ar. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aspect%20ratio" title="aspect ratio">aspect ratio</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation%20curve" title=" bifurcation curve"> bifurcation curve</a>, <a href="https://publications.waset.org/abstracts/search?q=elliptic%20cylinder" title=" elliptic cylinder"> elliptic cylinder</a>, <a href="https://publications.waset.org/abstracts/search?q=GMRES" title=" GMRES"> GMRES</a>, <a href="https://publications.waset.org/abstracts/search?q=stabilized%20finite-element" title=" stabilized finite-element"> stabilized finite-element</a> </p> <a href="https://publications.waset.org/abstracts/40551/study-of-bifurcation-curve-with-aspect-ratio-at-low-reynolds-number" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40551.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">342</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">109</span> Oil Reservoirs Bifurcation Analysis in the Democratic Republic of Congo: Fractal Characterization Approach of Makelekese MS-25 Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Leonard%20Mike%20McNelly%20Longwa">Leonard Mike McNelly Longwa</a>, <a href="https://publications.waset.org/abstracts/search?q=Divine%20Kusosa%20Musiku"> Divine Kusosa Musiku</a>, <a href="https://publications.waset.org/abstracts/search?q=D.%20Nahum%20Kabeya"> D. Nahum Kabeya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper the bifurcation analysis of oilfield in Democratic Republic of Congo is presented in order to enhance petroleum production in an intense tectonic evolution characterized by distinct compressive and extensive phases and the digenetic transformation in the reservoirs during burial geological configuration. The use of porous media in Makelekese MS-25 field has been established to simulate the boundaries within 3 sedimentary basins open to exploration including the coastal basin with an area of 5992 km2, a central basin with an area of 800,000 km2, the western branch of the East African Rift in which there are 50,000 km2. The fractal characterization of complex hydro-dynamic fractures in oilfield is developed to facilitate oil production process based on reservoirs bifurcation model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reservoir%20bifurcation" title="reservoir bifurcation">reservoir bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=fractal%20characterisation" title=" fractal characterisation"> fractal characterisation</a>, <a href="https://publications.waset.org/abstracts/search?q=permeability" title=" permeability"> permeability</a>, <a href="https://publications.waset.org/abstracts/search?q=conductivity" title=" conductivity"> conductivity</a>, <a href="https://publications.waset.org/abstracts/search?q=skin%20effect" title=" skin effect"> skin effect</a> </p> <a href="https://publications.waset.org/abstracts/149759/oil-reservoirs-bifurcation-analysis-in-the-democratic-republic-of-congo-fractal-characterization-approach-of-makelekese-ms-25-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/149759.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">199</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">108</span> Neuron Dynamics of Single-Compartment Traub Model for Hardware Implementations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20C.%20Moctezuma">J. C. Moctezuma</a>, <a href="https://publications.waset.org/abstracts/search?q=V.%20Bre%C3%B1a-Medina"> V. Breña-Medina</a>, <a href="https://publications.waset.org/abstracts/search?q=Jose%20Luis%20Nunez-Yanez"> Jose Luis Nunez-Yanez</a>, <a href="https://publications.waset.org/abstracts/search?q=Joseph%20P.%20McGeehan">Joseph P. McGeehan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work we make a bifurcation analysis for a single compartment representation of Traub model, one of the most important conductance-based models. The analysis focus in two principal parameters: current and leakage conductance. Study of stable and unstable solutions are explored; also Hop-bifurcation and frequency interpretation when current varies is examined. This study allows having control of neuron dynamics and neuron response when these parameters change. Analysis like this is particularly important for several applications such as: tuning parameters in learning process, neuron excitability tests, measure bursting properties of the neuron, etc. Finally, a hardware implementation results were developed to corroborate these results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Traub%20model" title="Traub model">Traub model</a>, <a href="https://publications.waset.org/abstracts/search?q=Pinsky-Rinzel%20model" title=" Pinsky-Rinzel model"> Pinsky-Rinzel model</a>, <a href="https://publications.waset.org/abstracts/search?q=Hopf%20bifurcation" title=" Hopf bifurcation"> Hopf bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=single-compartment%20models" title=" single-compartment models"> single-compartment models</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation%20analysis" title=" bifurcation analysis"> bifurcation analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=neuron%20modeling" title=" neuron modeling"> neuron modeling</a> </p> <a href="https://publications.waset.org/abstracts/10310/neuron-dynamics-of-single-compartment-traub-model-for-hardware-implementations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10310.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">323</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">107</span> Oil Reservoirs Bifurcation Analysis in the Democratic Republic of Congo: Fractal Characterization Approach of Makelekese MS-25 Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Leonard%20Mike%20McNelly%20Longwa">Leonard Mike McNelly Longwa</a>, <a href="https://publications.waset.org/abstracts/search?q=Divine%20Kusosa%20Musiku"> Divine Kusosa Musiku</a>, <a href="https://publications.waset.org/abstracts/search?q=Dieudonne%20Nahum%20Kabeya"> Dieudonne Nahum Kabeya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the bifurcation analysis of oilfields in the Democratic Republic of Congo is presented in order to enhance petroleum production in an intense tectonic evolution characterized by distinct compressive and extensive phases and the digenetic transformation in the reservoirs during burial geological configuration. The use of porous media in the Makelekese MS-25 field has been established to simulate the boundaries within 3 sedimentary basins open to exploration including the coastal basin with an area of 5992 km², a central basin with an area of 800,000 km², the western branch of the East African Rift in which there are 50,000 km². The fractal characterization of complex hydro-dynamic fractures in oilfields is developed to facilitate the oil production process based on the reservoirs bifurcation model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reservoir%20bifurcation" title="reservoir bifurcation">reservoir bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=fractal%20characterization" title=" fractal characterization"> fractal characterization</a>, <a href="https://publications.waset.org/abstracts/search?q=permeability" title=" permeability"> permeability</a>, <a href="https://publications.waset.org/abstracts/search?q=conductivity" title=" conductivity"> conductivity</a>, <a href="https://publications.waset.org/abstracts/search?q=skin%20effect" title=" skin effect"> skin effect</a> </p> <a href="https://publications.waset.org/abstracts/147045/oil-reservoirs-bifurcation-analysis-in-the-democratic-republic-of-congo-fractal-characterization-approach-of-makelekese-ms-25-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/147045.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">130</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">106</span> Prey-Predator Eco-Epidemiological Model with Nonlinear Transmission Disease</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Qamar%20J.%20A.%20Khan">Qamar J. A. Khan</a>, <a href="https://publications.waset.org/abstracts/search?q=Fatma%20Ahmed%20Al%20Kharousi"> Fatma Ahmed Al Kharousi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A prey-predator eco-epidemiological model is studied where transmission of the disease between infected and uninfected prey is nonlinear. The interaction of the predator with infected and uninfected prey species depend on their numerical superiority. Harvesting of both uninfected and infected prey is considered. Stability analysis is carried out for equilibrium values. Using the parameter µ, the death rate of infected prey as a bifurcation parameter it is shown that Hopf bifurcation could occur. The theoretical results are compared with numerical results for different set of parameters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title="bifurcation">bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20harvesting" title=" optimal harvesting"> optimal harvesting</a>, <a href="https://publications.waset.org/abstracts/search?q=predator" title=" predator"> predator</a>, <a href="https://publications.waset.org/abstracts/search?q=prey" title=" prey"> prey</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/55570/prey-predator-eco-epidemiological-model-with-nonlinear-transmission-disease" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55570.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">302</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">105</span> CFD Analysis of the Blood Flow in Left Coronary Bifurcation with Variable Angulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Midiya%20Khademi">Midiya Khademi</a>, <a href="https://publications.waset.org/abstracts/search?q=Ali%20Nikoo"> Ali Nikoo</a>, <a href="https://publications.waset.org/abstracts/search?q=Shabnam%20Rahimnezhad%20Baghche%20Jooghi"> Shabnam Rahimnezhad Baghche Jooghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Cardiovascular diseases (CVDs) are the main cause of death globally. Most CVDs can be prevented by avoiding habitual risk factors. Separate from the habitual risk factors, there are some inherent factors in each individual that can increase the risk potential of CVDs. Vessel shapes and geometry are influential factors, having great impact on the blood flow and the hemodynamic behavior of the vessels. In the present study, the influence of bifurcation angle on blood flow characteristics is studied. In order to approach this topic, by simplifying the details of the bifurcation, three models with angles 30°, 45°, and 60° were created, then by using CFD analysis, the response of these models for stable flow and pulsatile flow was studied. In the conducted simulation in order to eliminate the influence of other geometrical factors, only the angle of the bifurcation was changed and other parameters remained constant during the research. Simulations are conducted under dynamic and stable condition. In the stable flow simulation, a steady velocity of 0.17 m/s at the inlet plug was maintained and in dynamic simulations, a typical LAD flow waveform is implemented. The results show that the bifurcation angle has an influence on the maximum speed of the flow. In the stable flow condition, increasing the angle lead to decrease the maximum flow velocity. In the dynamic flow simulations, increasing the bifurcation angle lead to an increase in the maximum velocity. Since blood flow has pulsatile characteristics, using a uniform velocity during the simulations can lead to a discrepancy between the actual results and the calculated results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=coronary%20artery" title="coronary artery">coronary artery</a>, <a href="https://publications.waset.org/abstracts/search?q=cardiovascular%20disease" title=" cardiovascular disease"> cardiovascular disease</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title=" bifurcation"> bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=atherosclerosis" title=" atherosclerosis"> atherosclerosis</a>, <a href="https://publications.waset.org/abstracts/search?q=CFD" title=" CFD"> CFD</a>, <a href="https://publications.waset.org/abstracts/search?q=artery%20wall%20shear%20stress" title=" artery wall shear stress"> artery wall shear stress</a> </p> <a href="https://publications.waset.org/abstracts/106497/cfd-analysis-of-the-blood-flow-in-left-coronary-bifurcation-with-variable-angulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/106497.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">164</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">104</span> Simulation to Detect Virtual Fractional Flow Reserve in Coronary Artery Idealized Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nabila%20Jaman">Nabila Jaman</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20E.%20Hoque"> K. E. Hoque</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Sawall"> S. Sawall</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Ferdows"> M. Ferdows </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Coronary artery disease (CAD) is one of the most lethal diseases of the cardiovascular diseases. Coronary arteries stenosis and bifurcation angles closely interact for myocardial infarction. We want to use computer-aided design model coupled with computational hemodynamics (CHD) simulation for detecting several types of coronary artery stenosis with different locations in an idealized model for identifying virtual fractional flow reserve (vFFR). The vFFR provides us the information about the severity of stenosis in the computational models. Another goal is that we want to imitate patient-specific computed tomography coronary artery angiography model for constructing our idealized models with different left anterior descending (LAD) and left circumflex (LCx) bifurcation angles. Further, we want to analyze whether the bifurcation angles has an impact on the creation of narrowness in coronary arteries or not. The numerical simulation provides the CHD parameters such as wall shear stress (WSS), velocity magnitude and pressure gradient (PGD) that allow us the information of stenosis condition in the computational domain. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CAD" title="CAD">CAD</a>, <a href="https://publications.waset.org/abstracts/search?q=CHD" title=" CHD"> CHD</a>, <a href="https://publications.waset.org/abstracts/search?q=vFFR" title=" vFFR"> vFFR</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation%20angles" title=" bifurcation angles"> bifurcation angles</a>, <a href="https://publications.waset.org/abstracts/search?q=coronary%20stenosis" title=" coronary stenosis"> coronary stenosis</a> </p> <a href="https://publications.waset.org/abstracts/85911/simulation-to-detect-virtual-fractional-flow-reserve-in-coronary-artery-idealized-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/85911.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">157</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">103</span> Haemodynamics Study in Subject Specific Carotid Bifurcation Using FSI</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20M.%20Abdul%20Khader">S. M. Abdul Khader</a>, <a href="https://publications.waset.org/abstracts/search?q=Anurag%20Ayachit"> Anurag Ayachit</a>, <a href="https://publications.waset.org/abstracts/search?q=Raghuvir%20Pai"> Raghuvir Pai</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20A.%20Ahmed"> K. A. Ahmed</a>, <a href="https://publications.waset.org/abstracts/search?q=V.%20R.%20K%20Rao"> V. R. K Rao</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Ganesh%20Kamath"> S. Ganesh Kamath</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The numerical simulation has made tremendous advances in investigating the blood flow phenomenon through elastic arteries. Such study can be useful in demonstrating the disease progression and haemodynamics of cardiovascular diseases such as atherosclerosis. In the present study, patient specific case diagnosed with partially stenosed complete right ICA and normal left carotid bifurcation without any atherosclerotic plaque formation is considered. 3D patient specific carotid bifurcation model is generated based on CT scan data using MIMICS-4.0 and numerical analysis is performed using FSI solver in ANSYS-14.5. The blood flow is assumed to be incompressible, homogenous and Newtonian, while the artery wall is assumed to be linearly elastic. The two-way sequentially-coupled transient FSI analysis is performed using FSI solver for three pulse cycles. The haemodynamic parameters such as flow pattern, Wall Shear Stress, pressure contours and arterial wall deformation are studied at the bifurcation and critical zones such as stenosis. The variation in flow behavior is studied throughout the pulse cycle. Also, the simulation results reveals that there is a considerable increase in the flow behavior in stenosed carotid in contrast to the normal carotid bifurcation system. The investigation also demonstrates the disturbed flow pattern especially at the bifurcation and stenosed zone elevating the haemodynamics, particularly during peak systole and later part of the pulse cycle. The results obtained agree well with the clinical observation and demonstrates the potential of patient specific numerical studies in prognosis of disease progression and plaque rupture. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fluid-structure%20interaction" title="fluid-structure interaction">fluid-structure interaction</a>, <a href="https://publications.waset.org/abstracts/search?q=arterial%20stenosis" title=" arterial stenosis"> arterial stenosis</a>, <a href="https://publications.waset.org/abstracts/search?q=wall%20shear%20stress" title=" wall shear stress"> wall shear stress</a>, <a href="https://publications.waset.org/abstracts/search?q=carotid%20artery%20bifurcation" title=" carotid artery bifurcation"> carotid artery bifurcation</a> </p> <a href="https://publications.waset.org/abstracts/15748/haemodynamics-study-in-subject-specific-carotid-bifurcation-using-fsi" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15748.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">571</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">102</span> Complex Dynamics in a Model of Management of the Protected Areas</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Paolo%20Russu">Paolo Russu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper investigates the economic and ecological dynamics that emerge in Protected Areas (PAs) due to interactions between visitors and the animals that live there. The PAs contain two species whose interactions are determined by the Lotka-Volterra equations system. Visitors' decisions to visit PAs are influenced by the entrance cost required to enter the park and the chance of witnessing the species living there. Visitors have contradictory effects on the species and thus on the sustainability of the protected areas: on the one hand, an increase in the number of tourists damages the natural habitat of the regions and thus the species living there; on the other hand, it increases the total amount of entrance fees that the managing body of the PAs can use to perform defensive expenditures that protect the species from extinction. For a given set of parameter values, saddle-node bifurcation, Hopf bifurcation, homoclinic orbits, and a Bogdanov–Takens bifurcation of codimension two has been investigated. The system displays periodic doubling and chaotic solutions, as numerical examples demonstrate. Pontryagin's Maximum Principle was utilised to develop an optimal admission charge policy that maximised social gain and ecosystem conservation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaos" title="chaos">chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation%20points" title=" bifurcation points"> bifurcation points</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamical%20model" title=" dynamical model"> dynamical model</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a> </p> <a href="https://publications.waset.org/abstracts/164280/complex-dynamics-in-a-model-of-management-of-the-protected-areas" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/164280.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">82</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">101</span> A Study on Coronary Artery Dominance and Divisions of Main Trunk of Left Coronary Artery in Adult Human Cadaveric Hearts of South Indian Population</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chethan%20Purushothama">Chethan Purushothama</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Coronary artery disease is one of the major causes of death in developing countries. The coronary arteries show wide range of variations and these variations have not been dealt with different population groups. The present study aims to focus on the pattern and variations of coronary artery in south Indian population. The study was performed to analyze the coronary artery dominance and divisions of main trunk of left coronary artery in 81 isolated adult human cadaveric hearts of South Indian population. The specimens were fixed in 10% formalin and were dissected manually. In our specimens, 74.1% of the hearts were right dominant, 11.1% were left dominant, and 14.8% were co-dominant. Bifurcation, trifurcation, and quadrifurcation of main trunk of left coronary artery were seen in 49.4%, 48.1%, and 2.5% cases respectively. The right dominant hearts had bifurcation, trifurcation and quadrifurcation of main trunk of left coronary artery in 46.7%, 50% and 3.3% hearts respectively. The left dominant hearts had bifurcation and trifurcation of main trunk of left coronary artery in 55.6% and 44.4% cases respectively. The co-dominant hearts had bifurcation and trifurcation of main trunk of left coronary artery in 58.3% and 41.7% respectively. Quadrifurcation of main trunk of left coronary artery were seen only in right dominant hearts. We believe that the data obtained from the present study are important to the interventional cardiologists and radiologists. The details obtained will also be helpful for the clinical anatomists. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title="bifurcation">bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=coronary%20artery" title=" coronary artery"> coronary artery</a>, <a href="https://publications.waset.org/abstracts/search?q=trifurcation" title=" trifurcation"> trifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=quadrifurcation" title=" quadrifurcation"> quadrifurcation</a> </p> <a href="https://publications.waset.org/abstracts/52463/a-study-on-coronary-artery-dominance-and-divisions-of-main-trunk-of-left-coronary-artery-in-adult-human-cadaveric-hearts-of-south-indian-population" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52463.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">388</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">100</span> Bifurcation and Stability Analysis of the Dynamics of Cholera Model with Controls</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=C.%20E.%20Madubueze">C. E. Madubueze</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20C.%20Madubueze"> S. C. Madubueze</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Ajama"> S. Ajama</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Cholera is a disease that is predominately common in developing countries due to poor sanitation and overcrowding population. In this paper, a deterministic model for the dynamics of cholera is developed and control measures such as health educational message, therapeutic treatment, and vaccination are incorporated in the model. The effective reproduction number is computed in terms of the model parameters. The existence and stability of the equilibrium states, disease free and endemic equilibrium states are established and showed to be locally and globally asymptotically stable when R0 < 1 and R0 > 1 respectively. The existence of backward bifurcation of the model is investigated. Furthermore, numerical simulation of the model developed is carried out to show the impact of the control measures and the result indicates that combined control measures will help to reduce the spread of cholera in the population <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backward%20bifurcation" title="backward bifurcation">backward bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=cholera" title=" cholera"> cholera</a>, <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title=" equilibrium"> equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamics" title=" dynamics"> dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/36147/bifurcation-and-stability-analysis-of-the-dynamics-of-cholera-model-with-controls" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/36147.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">431</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">99</span> Prismatic Bifurcation Study of a Functionally Graded Dielectric Elastomeric Tube Using Linearized Incremental Theory of Deformations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sanjeet%20Patra">Sanjeet Patra</a>, <a href="https://publications.waset.org/abstracts/search?q=Soham%20Roychowdhury"> Soham Roychowdhury</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In recent times, functionally graded dielectric elastomer (FGDE) has gained significant attention within the realm of soft actuation due to its dual capacity to exert highly localized stresses while maintaining its compliant characteristics on application of electro-mechanical loading. Nevertheless, the full potential of dielectric elastomer (DE) has not been fully explored due to their susceptibility to instabilities when subjected to electro-mechanical loads. As a result, study and analysis of such instabilities becomes crucial for the design and realization of dielectric actuators. Prismatic bifurcation is a type of instability that has been recognized in a DE tube. Though several studies have reported on the analysis for prismatic bifurcation in an isotropic DE tube, there is an insufficiency in studies related to prismatic bifurcation of FGDE tubes. Therefore, this paper aims to determine the onset of prismatic bifurcations on an incompressible FGDE tube when subjected to electrical loading across the thickness of the tube and internal pressurization. The analysis has been conducted by imposing two axial boundary conditions on the tube, specifically axially free ends and axially clamped ends. Additionally, the rigidity modulus of the tube has been linearly graded in the direction of thickness where the inner surface of the tube has a lower stiffness than the outer surface. The static equilibrium equations for deformation of the axisymmetric tube are derived and solved using numerical technique. The condition for prismatic bifurcation of the axisymmetric static equilibrium solutions has been obtained by using the linearized incremental constitutive equations. Two modes of bifurcations, corresponding to two different non-circular cross-sectional geometries, have been explored in this study. The outcomes reveal that the FGDE tubes experiences prismatic bifurcation before the Hessian criterion of failure is satisfied. It is observed that the lower mode of bifurcation can be triggered at a lower critical voltage as compared to the higher mode of bifurcation. Furthermore, the tubes with larger stiffness gradient require higher critical voltages for triggering the bifurcation. Moreover, with the increase in stiffness gradient, a linear variation of the critical voltage is observed with the thickness of the tube. It has been found that on applying internal pressure to a tube with low thickness, the tube becomes less susceptible to bifurcations. A thicker tube with axially free end is found to be more stable than the axially clamped end tube at higher mode of bifurcation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=critical%20voltage" title="critical voltage">critical voltage</a>, <a href="https://publications.waset.org/abstracts/search?q=functionally%20graded%20dielectric%20elastomer" title=" functionally graded dielectric elastomer"> functionally graded dielectric elastomer</a>, <a href="https://publications.waset.org/abstracts/search?q=linearized%20incremental%20approach" title=" linearized incremental approach"> linearized incremental approach</a>, <a href="https://publications.waset.org/abstracts/search?q=modulus%20of%20rigidity" title=" modulus of rigidity"> modulus of rigidity</a>, <a href="https://publications.waset.org/abstracts/search?q=prismatic%20bifurcation" title=" prismatic bifurcation"> prismatic bifurcation</a> </p> <a href="https://publications.waset.org/abstracts/171834/prismatic-bifurcation-study-of-a-functionally-graded-dielectric-elastomeric-tube-using-linearized-incremental-theory-of-deformations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/171834.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">77</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">98</span> Fractal Analysis of Some Bifurcations of Discrete Dynamical Systems in Higher Dimensions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lana%20Horvat%20Dmitrovi%C4%87">Lana Horvat Dmitrović</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main purpose of this paper is to study the box dimension as fractal property of bifurcations of discrete dynamical systems in higher dimensions. The paper contains the fractal analysis of the orbits near the hyperbolic and non-hyperbolic fixed points in discrete dynamical systems. It is already known that in one-dimensional case the orbit near the hyperbolic fixed point has the box dimension equal to zero. On the other hand, the orbit near the non-hyperbolic fixed point has strictly positive box dimension which is connected to the non-degeneracy condition of certain bifurcation. One of the main results in this paper is the generalisation of results about box dimension near the hyperbolic and non-hyperbolic fixed points to higher dimensions. In the process of determining box dimension, the restriction of systems to stable, unstable and center manifolds, Lipschitz property of box dimension and the notion of projective box dimension are used. The analysis of the bifurcations in higher dimensions with one multiplier on the unit circle is done by using the normal forms on one-dimensional center manifolds. This specific change in box dimension of an orbit at the moment of bifurcation has already been explored for some bifurcations in one and two dimensions. It was shown that specific values of box dimension are connected to appropriate bifurcations such as fold, flip, cusp or Neimark-Sacker bifurcation. This paper further explores this connection of box dimension as fractal property to some specific bifurcations in higher dimensions, such as fold-flip and flip-Neimark-Sacker. Furthermore, the application of the results to the unit time map of continuous dynamical system near hyperbolic and non-hyperbolic singularities is presented. In that way, box dimensions which are specific for certain bifurcations of continuous systems can be obtained. The approach to bifurcation analysis by using the box dimension as specific fractal property of orbits can lead to better understanding of bifurcation phenomenon. It could also be useful in detecting the existence or nonexistence of bifurcations of discrete and continuous dynamical systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title="bifurcation">bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=box%20dimension" title=" box dimension"> box dimension</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20manifold" title=" invariant manifold"> invariant manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=orbit%20near%20fixed%20point" title=" orbit near fixed point"> orbit near fixed point</a> </p> <a href="https://publications.waset.org/abstracts/52891/fractal-analysis-of-some-bifurcations-of-discrete-dynamical-systems-in-higher-dimensions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52891.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">254</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">97</span> Role of Additional Food Resources in an Ecosystem with Two Discrete Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ankit%20Kumar">Ankit Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=Balram%20Dubey"> Balram Dubey</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study proposes a three dimensional prey-predator model with additional food, provided to predator individuals, including gestation delay in predators and delay in supplying the additional food to predators. It is assumed that the interaction between prey and predator is followed by Holling type-II functional response. We discussed the steady states and their local and global asymptotic behavior for the non-delayed system. Hopf-bifurcation phenomenon with respect to different parameters has also been studied. We obtained a range of predator’s tendency factor on provided additional food, in which the periodic solutions occur in the system. We have shown that oscillations can be controlled from the system by increasing the tendency factor. Moreover, the existence of periodic solutions via Hopf-bifurcation is shown with respect to both the delays. Our analysis shows that both delays play an important role in governing the dynamics of the system. It changes the stability behavior into instability behavior. The direction and stability of Hopf-bifurcation are also investigated through the normal form theory and the center manifold theorem. Lastly, some numerical simulations and graphical illustrations have been carried out to validate our analytical findings. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=additional%20food" title="additional food">additional food</a>, <a href="https://publications.waset.org/abstracts/search?q=gestation%20delay" title=" gestation delay"> gestation delay</a>, <a href="https://publications.waset.org/abstracts/search?q=Hopf-bifurcation" title=" Hopf-bifurcation"> Hopf-bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=prey-predator" title=" prey-predator"> prey-predator</a> </p> <a href="https://publications.waset.org/abstracts/110587/role-of-additional-food-resources-in-an-ecosystem-with-two-discrete-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/110587.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">130</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">96</span> The Structure of Invariant Manifolds after a Supercritical Hamiltonian Hopf Bifurcation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Matthaios%20Katsanikas">Matthaios Katsanikas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the structure of the invariant manifolds of complex unstable periodic orbits of a family of periodic orbits, in a 3D autonomous Hamiltonian system of galactic type, after a transition of this family from stability to complex instability (Hamiltonian Hopf bifurcation). We consider the case of a supercritical Hamiltonian Hopf bifurcation. The invariant manifolds of complex unstable periodic orbits have two kinds of structures. The first kind is represented by a disk confined structure on the 4D space of section. The second kind is represented by a complicated central tube structure that is associated with an extended network of tube structures, strips and flat structures of sheet type on the 4D space of section. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamical%20systems" title="dynamical systems">dynamical systems</a>, <a href="https://publications.waset.org/abstracts/search?q=galactic%20dynamics" title=" galactic dynamics"> galactic dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20space" title=" phase space"> phase space</a> </p> <a href="https://publications.waset.org/abstracts/125080/the-structure-of-invariant-manifolds-after-a-supercritical-hamiltonian-hopf-bifurcation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/125080.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">139</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">95</span> Complexity in a Leslie-Gower Delayed Prey-Predator Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anuraj%20Singh">Anuraj Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The complex dynamics is explored in a prey predator system with multiple delays. The predator dynamics is governed by Leslie-Gower scheme. The existence of periodic solutions via Hopf bifurcation with respect to delay parameters is established. To substantiate analytical findings, numerical simulations are performed. The system shows rich dynamic behavior including chaos and limit cycles. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaos" title="chaos">chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=Hopf%20bifurcation" title=" Hopf bifurcation"> Hopf bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=time%20delay" title=" time delay"> time delay</a> </p> <a href="https://publications.waset.org/abstracts/6496/complexity-in-a-leslie-gower-delayed-prey-predator-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6496.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">326</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">94</span> Long-Term Results of Coronary Bifurcation Stenting with Drug Eluting Stents </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Piotr%20Muzyk">Piotr Muzyk</a>, <a href="https://publications.waset.org/abstracts/search?q=Beata%20Morawiec"> Beata Morawiec</a>, <a href="https://publications.waset.org/abstracts/search?q=Mariusz%20Opara"> Mariusz Opara</a>, <a href="https://publications.waset.org/abstracts/search?q=Andrzej%20Tomasik"> Andrzej Tomasik</a>, <a href="https://publications.waset.org/abstracts/search?q=Brygida%20%20Przywara-Chowaniec"> Brygida Przywara-Chowaniec</a>, <a href="https://publications.waset.org/abstracts/search?q=Wojciech%20Jachec"> Wojciech Jachec</a>, <a href="https://publications.waset.org/abstracts/search?q=Ewa%20Nowalany-Kozielska"> Ewa Nowalany-Kozielska</a>, <a href="https://publications.waset.org/abstracts/search?q=Damian%20Kawecki"> Damian Kawecki</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Background: Coronary bifurcation is one of the most complex lesion in patients with coronary ar-tery disease. Provisional T-stenting is currently one of the recommended techniques. The aim was to assess optimal methods of treatment in the era of drug-eluting stents (DES). Methods: The regis-try consisted of data from 1916 patients treated with coronary percutaneous interventions (PCI) using either first- or second-generation DES. Patients with bifurcation lesion entered the analysis. Major adverse cardiac and cardiovascular events (MACCE) were assessed at one year of follow-up and comprised of death, acute myocardial infarction (AMI), repeated PCI (re-PCI) of target ves-sel and stroke. Results: Of 1916 registry patients, 204 patients (11%) were diagnosed with bifurcation lesion >50% and entered the analysis. The most commonly used technique was provi-sional T-stenting (141 patients, 69%). Optimization with kissing-balloons technique was performed in 45 patients (22%). In 59 patients (29%) second-generation DES was implanted, while in 112 pa-tients (55%), first-generation DES was used. In 33 patients (16%) both types of DES were used. The procedure success rate (TIMI 3 flow) was achieved in 98% of patients. In one-year follow-up, there were 39 MACCE (19%) (9 deaths, 17 AMI, 16 re-PCI and 5 strokes). Provisional T-stenting resulted in similar rate of MACCE to other techniques (16% vs. 5%, p=0.27) and similar occurrence of re-PCI (6% vs. 2%, p=0.78). The results of post-PCI kissing-balloon technique gave equal out-comes with 3% vs. 16% of MACCE in patients in whom no optimization technique was used (p=0.39). The type of implanted DES (second- vs. first-generation) had no influence on MACCE (4% vs 14%, respectively, p=0.12) and re-PCI (1.7% vs. 51% patients, respectively, p=0.28). Con-clusions: The treatment of bifurcation lesions with PCI represent high-risk procedures with high rate of MACCE. Stenting technique, optimization of PCI and the generation of implanted stent should be personalized for each case to balance risk of the procedure. In this setting, the operator experience might be the factor of better outcome, which should be further investigated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=coronary%20bifurcation" title="coronary bifurcation">coronary bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=drug%20eluting%20stents" title=" drug eluting stents"> drug eluting stents</a>, <a href="https://publications.waset.org/abstracts/search?q=long-term%20follow-up" title=" long-term follow-up"> long-term follow-up</a>, <a href="https://publications.waset.org/abstracts/search?q=percutaneous%20coronary%20interventions" title=" percutaneous coronary interventions"> percutaneous coronary interventions</a> </p> <a href="https://publications.waset.org/abstracts/76395/long-term-results-of-coronary-bifurcation-stenting-with-drug-eluting-stents" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/76395.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">204</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">93</span> Analysis of the Secondary Stationary Flow Around an Oscillating Circular Cylinder</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Artem%20Nuriev">Artem Nuriev</a>, <a href="https://publications.waset.org/abstracts/search?q=Olga%20Zaitseva"> Olga Zaitseva</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is devoted to the study of a viscous incompressible flow around a circular cylinder performing harmonic oscillations, especially the steady streaming phenomenon. The research methodology is based on the asymptotic explanation method combined with the computational bifurcation analysis. Present studies allow to identify several regimes of the secondary streaming with different flow structures. The results of the research are in good agreement with experimental and numerical simulation data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=oscillating%20cylinder" title="oscillating cylinder">oscillating cylinder</a>, <a href="https://publications.waset.org/abstracts/search?q=secondary%20streaming" title=" secondary streaming"> secondary streaming</a>, <a href="https://publications.waset.org/abstracts/search?q=flow%20regimes" title=" flow regimes"> flow regimes</a>, <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20and%20bifurcation%20analysis" title=" asymptotic and bifurcation analysis"> asymptotic and bifurcation analysis</a> </p> <a href="https://publications.waset.org/abstracts/15706/analysis-of-the-secondary-stationary-flow-around-an-oscillating-circular-cylinder" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15706.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">435</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">92</span> Economic Development Process: A Compartmental Analysis of a Model with Two Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amadou%20Banda%20Ndione">Amadou Banda Ndione</a>, <a href="https://publications.waset.org/abstracts/search?q=Charles%20Awono%20Onana"> Charles Awono Onana</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper the compartmental approach is applied to build a macroeconomic model characterized by countries. We consider a total of N countries that are subdivided into three compartments according to their economic status: D(t) denotes the compartment of developing countries at time t, E(t) stands for the compartment of emerging countries at time t while A(t) represents advanced countries at time t. The model describes the process of economic development and includes the notion of openness through collaborations between countries. Two delays appear in this model to describe the average time necessary for collaborations between countries to become efficient for their development process. Our model represents the different stages of development. It further gives the conditions under which a country can change its economic status and demonstrates the short-term positive effect of openness on economic growth. In addition, we investigate bifurcation by considering the delay as a bifurcation parameter and examine the onset and termination of Hopf bifurcations from a positive equilibrium. Numerical simulations are provided in order to illustrate the theoretical part and to support discussion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=compartmental%20systems" title="compartmental systems">compartmental systems</a>, <a href="https://publications.waset.org/abstracts/search?q=delayed%20dynamical%20system" title=" delayed dynamical system"> delayed dynamical system</a>, <a href="https://publications.waset.org/abstracts/search?q=economic%20development" title=" economic development"> economic development</a>, <a href="https://publications.waset.org/abstracts/search?q=fiscal%20policy" title=" fiscal policy"> fiscal policy</a>, <a href="https://publications.waset.org/abstracts/search?q=hopf%20bifurcation" title=" hopf bifurcation"> hopf bifurcation</a> </p> <a href="https://publications.waset.org/abstracts/129658/economic-development-process-a-compartmental-analysis-of-a-model-with-two-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/129658.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">137</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">91</span> Effects of Wind Load on the Tank Structures with Various Shapes and Aspect Ratios</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Doo%20Byong%20Bae">Doo Byong Bae</a>, <a href="https://publications.waset.org/abstracts/search?q=Jae%20Jun%20Yoo"> Jae Jun Yoo</a>, <a href="https://publications.waset.org/abstracts/search?q=Il%20Gyu%20Park"> Il Gyu Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Choi%20Seowon"> Choi Seowon</a>, <a href="https://publications.waset.org/abstracts/search?q=Oh%20Chang%20Kook"> Oh Chang Kook</a> </p> <p class="card-text"><strong>Abstract:</strong></p> There are several wind load provisions to evaluate the wind response on tank structures such as API, Euro-code, etc. the assessment of wind action applying these provisions is made by performing the finite element analysis using both linear bifurcation analysis and geometrically nonlinear analysis. By comparing the pressure patterns obtained from the analysis with the results of wind tunnel test, most appropriate wind load criteria will be recommended. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=wind%20load" title="wind load">wind load</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20analysis" title=" finite element analysis"> finite element analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20bifurcation%20analysis" title=" linear bifurcation analysis"> linear bifurcation analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=geometrically%20nonlinear%20analysis" title=" geometrically nonlinear analysis"> geometrically nonlinear analysis</a> </p> <a href="https://publications.waset.org/abstracts/45923/effects-of-wind-load-on-the-tank-structures-with-various-shapes-and-aspect-ratios" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45923.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">637</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">90</span> Dynamics of the Coupled Fitzhugh-Rinzel Neurons</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sanjeev%20Kumar%20Sharma">Sanjeev Kumar Sharma</a>, <a href="https://publications.waset.org/abstracts/search?q=Arnab%20Mondal"> Arnab Mondal</a>, <a href="https://publications.waset.org/abstracts/search?q=Ranjit%20Kumar%20Upadhyay"> Ranjit Kumar Upadhyay</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Excitable cells often produce different oscillatory activities that help us to understand the transmitting and processing of signals in the neural system. We consider a FitzHugh-Rinzel (FH-R) model and studied the different dynamics of the model by considering the parameter c as the predominant parameter. The model exhibits different types of neuronal responses such as regular spiking, mixed-mode bursting oscillations (MMBOs), elliptic bursting, etc. Based on the bifurcation diagram, we consider the three regimes (MMBOs, elliptic bursting, and quiescent state). An analytical treatment for the occurrence of the supercritical Hopf bifurcation is studied. Further, we extend our study to a network of a hundred neurons by considering the bi-directional synaptic coupling between them. In this article, we investigate the alternation of spiking propagation and bursting phenomena of an uncoupled and coupled FH-R neurons. We explore that the complete graph of heterogenous desynchronized neurons can exhibit different types of bursting oscillations for certain coupling strength. For higher coupling strength, all the neurons in the network show complete synchronization. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=excitable%20neuron%20model" title="excitable neuron model">excitable neuron model</a>, <a href="https://publications.waset.org/abstracts/search?q=spiking-bursting" title=" spiking-bursting"> spiking-bursting</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20and%20bifurcation" title=" stability and bifurcation"> stability and bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronization%20networks" title=" synchronization networks"> synchronization networks</a> </p> <a href="https://publications.waset.org/abstracts/116729/dynamics-of-the-coupled-fitzhugh-rinzel-neurons" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/116729.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">128</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">89</span> A 3D Model of the Sustainable Management of the Natural Environment in National Parks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Paolo%20Russu">Paolo Russu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper investigates the economic and ecological dynamics that emerge in Protected Areas (PAs) as a result of interactions between visitors to the area and the animals that live there. We suppose that the PAs contain two species whose interactions are determined by the Lotka-Volterra equations system. Visitors' decisions to visit PAs are influenced by the entrance cost required to enter the park as well as the chance of witnessing the species that live there. Visitors have contradictory effects on the species and thus on the sustainability of the protected areas: on the one hand, an increase in the number of tourists damages the natural habitat of the areas and thus the species living there; on the other hand, it increases the total amount of entrance fees that the managing body of the PAs can use to perform defensive expenditures that protect the species from extinction. For a given set of parameter values, the existence of saddle-node bifurcation, Hopf bifurcation, homoclinic orbits, and a Bogdanov–Takens bifurcation of codimension two has been investigated. The system displays periodic doubling and chaotic solutions, as demonstrated by numerical examples. Pontryagin's Maximum Principle was utilized to develop an optimal admission charge policy that maximized both social gain and ecosystem conservation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=environmental%20preferences" title="environmental preferences">environmental preferences</a>, <a href="https://publications.waset.org/abstracts/search?q=singularities%20point" title=" singularities point"> singularities point</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamical%20system" title=" dynamical system"> dynamical system</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a> </p> <a href="https://publications.waset.org/abstracts/150481/a-3d-model-of-the-sustainable-management-of-the-natural-environment-in-national-parks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150481.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">97</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">88</span> Bifurcation and Chaos of the Memristor Circuit</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wang%20Zhulin">Wang Zhulin</a>, <a href="https://publications.waset.org/abstracts/search?q=Min%20Fuhong"> Min Fuhong</a>, <a href="https://publications.waset.org/abstracts/search?q=Peng%20Guangya"> Peng Guangya</a>, <a href="https://publications.waset.org/abstracts/search?q=Wang%20Yaoda"> Wang Yaoda</a>, <a href="https://publications.waset.org/abstracts/search?q=Cao%20Yi"> Cao Yi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a magnetron memristor model based on hyperbolic sine function is presented and the correctness proved by studying the trajectory of its voltage and current phase, and then a memristor chaotic system with the memristor model is presented. The phase trajectories and the bifurcation diagrams and Lyapunov exponent spectrum of the magnetron memristor system are plotted by numerical simulation, and the chaotic evolution with changing the parameters of the system is also given. The paper includes numerical simulations and mathematical model, which confirming that the system, has a wealth of dynamic behavior. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=memristor" title="memristor">memristor</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20circuit" title=" chaotic circuit"> chaotic circuit</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamical%20behavior" title=" dynamical behavior"> dynamical behavior</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20system" title=" chaotic system"> chaotic system</a> </p> <a href="https://publications.waset.org/abstracts/50850/bifurcation-and-chaos-of-the-memristor-circuit" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50850.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">503</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">87</span> Numerical Study on the Hazards of Gravitational Forces on Cerebral Aneurysms</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hashem%20M.%20Alargha">Hashem M. Alargha</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20O.%20Hamdan"> Mohammad O. Hamdan</a>, <a href="https://publications.waset.org/abstracts/search?q=Waseem%20H.%20Aziz"> Waseem H. Aziz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Aerobatic and military pilots are subjected to high gravitational forces that could cause blackout, physical injuries or death. A CFD simulation using fluid-solid interactions scheme has been conducted to investigate the gravitational effects and hazards inside cerebral aneurysms. Medical data have been used to derive the size and geometry of a simple aneurysm on a T-shaped bifurcation. The results show that gravitational force has no effect on maximum Wall Shear Stress (WSS); hence, it will not cause aneurysm initiation/formation. However, gravitational force cause causes hypertension which could contribute to aneurysm rupture. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aneurysm" title="aneurysm">aneurysm</a>, <a href="https://publications.waset.org/abstracts/search?q=cfd" title=" cfd"> cfd</a>, <a href="https://publications.waset.org/abstracts/search?q=wall%20shear%20stress" title=" wall shear stress"> wall shear stress</a>, <a href="https://publications.waset.org/abstracts/search?q=gravity" title=" gravity"> gravity</a>, <a href="https://publications.waset.org/abstracts/search?q=fluid%20dynamics" title=" fluid dynamics"> fluid dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation%20artery" title=" bifurcation artery"> bifurcation artery</a> </p> <a href="https://publications.waset.org/abstracts/50418/numerical-study-on-the-hazards-of-gravitational-forces-on-cerebral-aneurysms" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50418.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">368</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">86</span> Diffusion Dynamics of Leech-Heart Inter-Neuron Model </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arnab%20Mondal">Arnab Mondal</a>, <a href="https://publications.waset.org/abstracts/search?q=Sanjeev%20Kumar%20Sharma"> Sanjeev Kumar Sharma</a>, <a href="https://publications.waset.org/abstracts/search?q=Ranjit%20Kumar%20Upadhyay"> Ranjit Kumar Upadhyay</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the spatiotemporal dynamics of a neuronal cable. The processes of one- dimensional (1D) and 2D diffusion are considered for a single variable, which is the membrane voltage, i.e., membrane voltage diffusively interacts for spatiotemporal pattern formalism. The recovery and other variables interact through the membrane voltage. A 3D Leech-Heart (LH) model is introduced to investigate the nonlinear responses of an excitable neuronal cable. The deterministic LH model shows different types of firing properties. We explore the parameter space of the uncoupled LH model and based on the bifurcation diagram, considering v_k2_ashift as a bifurcation parameter, we analyze the 1D diffusion dynamics in three regimes: bursting, regular spiking, and a quiescent state. Depending on parameters, it is shown that the diffusive system may generate regular and irregular bursting or spiking behavior. Further, it is explored a 2D diffusion acting on the membrane voltage, where different types of patterns can be observed. The results show that the LH neurons with different firing characteristics depending on the control parameters participate in a collective behavior of an information processing system that depends on the overall network. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title="bifurcation">bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=pattern%20formation" title=" pattern formation"> pattern formation</a>, <a href="https://publications.waset.org/abstracts/search?q=spatio-temporal%20dynamics" title=" spatio-temporal dynamics"> spatio-temporal dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20analysis" title=" stability analysis"> stability analysis</a> </p> <a href="https://publications.waset.org/abstracts/116739/diffusion-dynamics-of-leech-heart-inter-neuron-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/116739.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">222</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">85</span> Detection of Chaos in General Parametric Model of Infectious Disease</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Javad%20Khaligh">Javad Khaligh</a>, <a href="https://publications.waset.org/abstracts/search?q=Aghileh%20Heydari"> Aghileh Heydari</a>, <a href="https://publications.waset.org/abstracts/search?q=Ali%20Akbar%20Heydari"> Ali Akbar Heydari</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mathematical epidemiological models for the spread of disease through a population are used to predict the prevalence of a disease or to study the impacts of treatment or prevention measures. Initial conditions for these models are measured from statistical data collected from a population since these initial conditions can never be exact, the presence of chaos in mathematical models has serious implications for the accuracy of the models as well as how epidemiologists interpret their findings. This paper confirms the chaotic behavior of a model for dengue fever and SI by investigating sensitive dependence, bifurcation, and 0-1 test under a variety of initial conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=epidemiological%20models" title="epidemiological models">epidemiological models</a>, <a href="https://publications.waset.org/abstracts/search?q=SEIR%20disease%20model" title=" SEIR disease model"> SEIR disease model</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title=" bifurcation"> bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20behavior" title=" chaotic behavior"> chaotic behavior</a>, <a href="https://publications.waset.org/abstracts/search?q=0-1%20test" title=" 0-1 test"> 0-1 test</a> </p> <a href="https://publications.waset.org/abstracts/30790/detection-of-chaos-in-general-parametric-model-of-infectious-disease" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30790.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">325</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">84</span> Control of Chaotic Behaviour in Parallel-Connected DC-DC Buck-Boost Converters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ammar%20Nimer%20Natsheh">Ammar Nimer Natsheh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Chaos control is used to design a controller that is able to eliminate the chaotic behaviour of nonlinear dynamic systems that experience such phenomena. The paper describes the control of the bifurcation behaviour of a parallel-connected DC-DC buck-boost converter used to provide an interface between energy storage batteries and photovoltaic (PV) arrays as renewable energy sources. The paper presents a delayed feedback control scheme in a module converter comprises two identical buck-boost circuits and operates in the continuous-current conduction mode (CCM). MATLAB/SIMULINK simulation results show the effectiveness and robustness of the scheme. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaos" title="chaos">chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title=" bifurcation"> bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=DC-DC%20Buck-Boost%20Converter" title=" DC-DC Buck-Boost Converter"> DC-DC Buck-Boost Converter</a>, <a href="https://publications.waset.org/abstracts/search?q=Delayed%20Feedback%20Control" title=" Delayed Feedback Control"> Delayed Feedback Control</a> </p> <a href="https://publications.waset.org/abstracts/45243/control-of-chaotic-behaviour-in-parallel-connected-dc-dc-buck-boost-converters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45243.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 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