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system</title> <meta name="description" content="Search results for: chaotic system"> <meta name="keywords" content="chaotic system"> <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 navbar-toggler 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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="chaotic system"> <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> 17645</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: chaotic system</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">17645</span> Chaotic Behavior in Monetary Systems: Comparison among Different Types of Taylor Rule</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Reza%20Moosavi%20Mohseni">Reza Moosavi Mohseni</a>, <a href="https://publications.waset.org/abstracts/search?q=Wenjun%20Zhang"> Wenjun Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Jiling%20Cao"> Jiling Cao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of the present study is to detect the chaotic behavior in monetary economic relevant dynamical system. The study employs three different forms of Taylor rules: current, forward, and backward looking. The result suggests the existence of the chaotic behavior in all three systems. In addition, the results strongly represent that using expectations especially rational expectation hypothesis can increase complexity of the system and leads to more chaotic behavior. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=taylor%20rule" title="taylor rule">taylor rule</a>, <a href="https://publications.waset.org/abstracts/search?q=monetary%20system" title=" monetary system"> monetary system</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos%20theory" title=" chaos theory"> chaos theory</a>, <a href="https://publications.waset.org/abstracts/search?q=lyapunov%20exponent" title=" lyapunov exponent"> lyapunov exponent</a>, <a href="https://publications.waset.org/abstracts/search?q=GMM%20estimator" title=" GMM estimator"> GMM estimator</a> </p> <a href="https://publications.waset.org/abstracts/27264/chaotic-behavior-in-monetary-systems-comparison-among-different-types-of-taylor-rule" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/27264.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">528</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">17644</span> Chaotic Control, Masking and Secure Communication Approach of Supply Chain Attractor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Unal%20Atakan%20Kahraman">Unal Atakan Kahraman</a>, <a href="https://publications.waset.org/abstracts/search?q=Yilmaz%20Uyaro%C4%9Flu"> Yilmaz Uyaroğlu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The chaotic signals generated by chaotic systems have some properties such as randomness, complexity and sensitive dependence on initial conditions, which make them particularly suitable for secure communications. Since the 1990s, the problem of secure communication, based on chaos synchronization, has been thoroughly investigated and many methods, for instance, robust and adaptive control approaches, have been proposed to realize the chaos synchronization. In this paper, an improved secure communication model is proposed based on control of supply chain management system. Control and masking communication simulation results are used to visualize the effectiveness of chaotic supply chain system also performed on the application of secure communication to the chaotic system. So, we discover the secure phenomenon of chaos-amplification in supply chain system <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaotic%20analyze" title="chaotic analyze">chaotic analyze</a>, <a href="https://publications.waset.org/abstracts/search?q=control" title=" control"> control</a>, <a href="https://publications.waset.org/abstracts/search?q=secure%20communication" title=" secure communication"> secure communication</a>, <a href="https://publications.waset.org/abstracts/search?q=supply%20chain%20attractor" title=" supply chain attractor"> supply chain attractor</a> </p> <a href="https://publications.waset.org/abstracts/30158/chaotic-control-masking-and-secure-communication-approach-of-supply-chain-attractor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30158.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">517</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">17643</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">17642</span> Backstepping Design and Fractional Differential Equation of Chaotic System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ayub%20Khan">Ayub Khan</a>, <a href="https://publications.waset.org/abstracts/search?q=Net%20Ram%20Garg"> Net Ram Garg</a>, <a href="https://publications.waset.org/abstracts/search?q=Geeta%20Jain"> Geeta Jain</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, backstepping method is proposed to synchronize two fractional-order systems. The simulation results show that this method can effectively synchronize two chaotic systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backstepping%20method" title="backstepping method">backstepping method</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20order" title=" fractional order"> fractional order</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronization" title=" synchronization"> synchronization</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/6438/backstepping-design-and-fractional-differential-equation-of-chaotic-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6438.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">458</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">17641</span> Design of a Chaotic Trajectory Generator Algorithm for Mobile Robots</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20J.%20Cetina-Denis">J. J. Cetina-Denis</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20M.%20L%C3%B3pez-Guti%C3%A9rrez"> R. M. López-Gutiérrez</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Ram%C3%ADrez-Ram%C3%ADrez"> R. Ramírez-Ramírez</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20Cruz-Hern%C3%A1ndez"> C. Cruz-Hernández</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work addresses the problem of designing an algorithm capable of generating chaotic trajectories for mobile robots. Particularly, the chaotic behavior is induced in the linear and angular velocities of a Khepera III differential mobile robot by infusing them with the states of the H´enon chaotic map. A possible application, using the properties of chaotic systems, is patrolling a work area. In this work, numerical and experimental results are reported and analyzed. In addition, two quantitative numerical tests are applied in order to measure how chaotic the generated trajectories really are. <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=chaotic%20trajectories" title=" chaotic trajectories"> chaotic trajectories</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20mobile%20robot" title=" differential mobile robot"> differential mobile robot</a>, <a href="https://publications.waset.org/abstracts/search?q=Henon%20map" title=" Henon map"> Henon map</a>, <a href="https://publications.waset.org/abstracts/search?q=Khepera%20III%20robot" title=" Khepera III robot"> Khepera III robot</a>, <a href="https://publications.waset.org/abstracts/search?q=patrolling%20applications" title=" patrolling applications"> patrolling applications</a> </p> <a href="https://publications.waset.org/abstracts/99264/design-of-a-chaotic-trajectory-generator-algorithm-for-mobile-robots" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99264.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">309</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">17640</span> Design Fractional-Order Terminal Sliding Mode Control for Synchronization of a Class of Fractional-Order Chaotic Systems with Uncertainty and External Disturbances</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shabnam%20Pashaei">Shabnam Pashaei</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammadali%20Badamchizadeh"> Mohammadali Badamchizadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a new fractional-order terminal sliding mode control for synchronization of two different fractional-order chaotic systems with uncertainty and external disturbances. A fractional-order integral type nonlinear switching surface is presented. Then, using the Lyapunov stability theory and sliding mode theory, a fractional-order control law is designed to synchronize two different fractional-order chaotic systems. Finally, a simulation example is presented to illustrate the performance and applicability of the proposed method. Based on numerical results, the proposed controller ensures that the states of the controlled fractional-order chaotic response system are asymptotically synchronized with the states of the drive system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=terminal%20sliding%20mode%20control" title="terminal sliding mode control">terminal sliding mode control</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional-order%20calculus" title=" fractional-order calculus"> fractional-order calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20systems" title=" chaotic systems"> chaotic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronization" title=" synchronization"> synchronization</a> </p> <a href="https://publications.waset.org/abstracts/67276/design-fractional-order-terminal-sliding-mode-control-for-synchronization-of-a-class-of-fractional-order-chaotic-systems-with-uncertainty-and-external-disturbances" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/67276.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">411</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">17639</span> Chaos Analysis of a 3D Finance System and Generalized Synchronization for N-Dimension</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Fiaz">Muhammad Fiaz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The article in hand is the study of complex features like Zero Hopf Bifurcation, Chaos and Synchronization of integer and fractional order version of a new 3D finance system. Trusted tools of averaging theory and active control method are utilized for investigation of Zero Hopf bifurcation and synchronization for both versions respectively. Inventiveness of the paper is to find the answer of a question that is it possible to find a chaotic system which can be synchronized with any other of the same dimension? Based on different examples we categorically develop a theory that if a couple of master and slave chaotic dynamical system is synchronized by selecting a suitable gain matrix with special conditions then the master system is synchronized with any chaotic dynamical system of the same dimension. With the help of this study we developed generalized theorems for synchronization of n-dimension dynamical systems for integer as well as fractional versions. it proposed that this investigation will contribute a lot to control dynamical systems and only a suitable gain matrix with special conditions is enough to synchronize the system under consideration with any other chaotic system of the same dimension. Chaotic properties of fractional version of the new finance system are also analyzed at fractional order q=0.87. Simulations results, where required, also provided for authenticity of analytical study. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=complex%20analysis" title="complex analysis">complex analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20synchronization" title=" generalized synchronization"> generalized synchronization</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20dynamics" title=" control dynamics"> control dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20order%20analysis" title=" fractional order analysis"> fractional order analysis</a> </p> <a href="https://publications.waset.org/abstracts/182892/chaos-analysis-of-a-3d-finance-system-and-generalized-synchronization-for-n-dimension" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/182892.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">68</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">17638</span> Penguins Search Optimization Algorithm for Chaotic Synchronization System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sofiane%20Bououden">Sofiane Bououden</a>, <a href="https://publications.waset.org/abstracts/search?q=Ilyes%20Boulkaibet"> Ilyes Boulkaibet</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In terms of security of the information signal, the meta-heuristic Penguins Search Optimization Algorithm (PeSOA) is applied to synchronize chaotic encryption communications in the case of sensitive dependence on initial conditions in chaotic generator oscillator. The objective of this paper is the use of the PeSOA algorithm to exploring search space with random and iterative processes for synchronization of symmetric keys in both transmission and reception. Simulation results show the effectiveness of the PeSOA algorithm in generating symmetric keys of the encryption process and synchronizing. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=meta-heuristic" title="meta-heuristic">meta-heuristic</a>, <a href="https://publications.waset.org/abstracts/search?q=PeSOA" title=" PeSOA"> PeSOA</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20systems" title=" chaotic systems"> chaotic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=encryption" title=" encryption"> encryption</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronization%20optimization" title=" synchronization optimization"> synchronization optimization</a> </p> <a href="https://publications.waset.org/abstracts/141318/penguins-search-optimization-algorithm-for-chaotic-synchronization-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/141318.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">195</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">17637</span> A Double Differential Chaos Shift Keying Scheme for Ultra-Wideband Chaotic Communication Technology Applied in Low-Rate Wireless Personal Area Network</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ghobad%20Gorji">Ghobad Gorji</a>, <a href="https://publications.waset.org/abstracts/search?q=Hasan%20Golabi"> Hasan Golabi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The goal of this paper is to describe the design of an ultra-wideband (UWB) system that is optimized for the low-rate wireless personal area network application. To this aim, we propose a system based on direct chaotic communication (DCC) technology. Based on this system, a 2-GHz wide chaotic signal is directly generated into the lower band of the UWB spectrum, i.e., 3.1–5.1 GHz. For this system, two simple modulation schemes, namely chaotic on-off keying (COOK) and differential chaos shift keying (DCSK), were studied before, and their performance was evaluated. We propose a modulation scheme, namely Double DCSK, to improve the performance of UWB DCC. Different characteristics of these systems, with Monte Carlo simulations based on the Additive White Gaussian Noise (AWGN) and the IEEE 802.15.4a standard channel models, are compared. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=UWB" title="UWB">UWB</a>, <a href="https://publications.waset.org/abstracts/search?q=DCC" title=" DCC"> DCC</a>, <a href="https://publications.waset.org/abstracts/search?q=IEEE%20802.15.4a" title=" IEEE 802.15.4a"> IEEE 802.15.4a</a>, <a href="https://publications.waset.org/abstracts/search?q=COOK" title=" COOK"> COOK</a>, <a href="https://publications.waset.org/abstracts/search?q=DCSK" title=" DCSK"> DCSK</a> </p> <a href="https://publications.waset.org/abstracts/160610/a-double-differential-chaos-shift-keying-scheme-for-ultra-wideband-chaotic-communication-technology-applied-in-low-rate-wireless-personal-area-network" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/160610.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">74</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">17636</span> Secure Image Encryption via Enhanced Fractional Order Chaotic Map</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ismail%20Haddad">Ismail Haddad</a>, <a href="https://publications.waset.org/abstracts/search?q=Djamel%20Herbadji"> Djamel Herbadji</a>, <a href="https://publications.waset.org/abstracts/search?q=Aissa%20Belmeguenai"> Aissa Belmeguenai</a>, <a href="https://publications.waset.org/abstracts/search?q=Selma%20Boumerdassi"> Selma Boumerdassi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> in this paper, we provide a novel approach for image encryption that employs the Fibonacci matrix and an enhanced fractional order chaotic map. The enhanced map overcomes the drawbacks of the classical map, especially the limited chaotic range and non-uniform distribution of chaotic sequences, resulting in a larger encryption key space. As a result, this strategy improves the encryption system's security. Our experimental results demonstrate that our proposed algorithm effectively encrypts grayscale images with exceptional efficiency. Furthermore, our technique is resistant to a wide range of potential attacks, including statistical and entropy attacks. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=image%20encryption" title="image encryption">image encryption</a>, <a href="https://publications.waset.org/abstracts/search?q=logistic%20map" title=" logistic map"> logistic map</a>, <a href="https://publications.waset.org/abstracts/search?q=fibonacci%20matrix" title=" fibonacci matrix"> fibonacci matrix</a>, <a href="https://publications.waset.org/abstracts/search?q=grayscale%20images" title=" grayscale images"> grayscale images</a> </p> <a href="https://publications.waset.org/abstracts/167150/secure-image-encryption-via-enhanced-fractional-order-chaotic-map" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/167150.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">318</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">17635</span> An Implementation of a Dual-Spin Spacecraft Attitude Reorientation Using Properties of Its Chaotic Motion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anton%20V.%20Doroshin">Anton V. Doroshin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article contains a description of main ideas for the attitude reorientation of spacecraft (small dual-spin spacecraft, nanosatellites) using properties of its chaotic attitude motion under the action of internal perturbations. The considering method based on intentional initiations of chaotic modes of attitude motion with big amplitudes of the nutation oscillations, and also on the redistributions of the angular momentum between coaxial bodies of the dual-spin spacecraft (DSSC), which perform in the purpose of system’s phase space changing. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=spacecraft" title="spacecraft">spacecraft</a>, <a href="https://publications.waset.org/abstracts/search?q=attitude%20dynamics" title=" attitude dynamics"> attitude dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=control" title=" control"> control</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a> </p> <a href="https://publications.waset.org/abstracts/3503/an-implementation-of-a-dual-spin-spacecraft-attitude-reorientation-using-properties-of-its-chaotic-motion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3503.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">397</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">17634</span> Robust Quantum Image Encryption Algorithm Leveraging 3D-BNM Chaotic Maps and Controlled Qubit-Level Operations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vivek%20Verma">Vivek Verma</a>, <a href="https://publications.waset.org/abstracts/search?q=Sanjeev%20Kumar"> Sanjeev Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study presents a novel quantum image encryption algorithm, using a 3D chaotic map and controlled qubit-level scrambling operations. The newly proposed 3D-BNM chaotic map effectively reduces the degradation of chaotic dynamics resulting from the finite word length effect. It facilitates the generation of highly unpredictable random sequences and enhances chaotic performance. The system’s efficacy is additionally enhanced by the inclusion of a SHA-256 hash function. Initially, classical plain images are converted into their quantum equivalents using the Novel Enhanced Quantum Representation (NEQR) model. The Generalized Quantum Arnold Transformation (GQAT) is then applied to disrupt the coordinate information of the quantum image. Subsequently, to diffuse the pixel values of the scrambled image, XOR operations are performed using pseudorandom sequences generated by the 3D-BNM chaotic map. Furthermore, to enhance the randomness and reduce the correlation among the pixels in the resulting cipher image, a controlled qubit-level scrambling operation is employed. The encryption process utilizes fundamental quantum gates such as C-NOT and CCNOT. Both theoretical and numerical simulations validate the effectiveness of the proposed algorithm against various statistical and differential attacks. Moreover, the proposed encryption algorithm operates with low computational complexity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=3D%20Chaotic%20map" title="3D Chaotic map">3D Chaotic map</a>, <a href="https://publications.waset.org/abstracts/search?q=SHA-256" title=" SHA-256"> SHA-256</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20image%20encryption" title=" quantum image encryption"> quantum image encryption</a>, <a href="https://publications.waset.org/abstracts/search?q=Qubit%20level%20scrambling" title=" Qubit level scrambling"> Qubit level scrambling</a>, <a href="https://publications.waset.org/abstracts/search?q=NEQR" title=" NEQR"> NEQR</a> </p> <a href="https://publications.waset.org/abstracts/193776/robust-quantum-image-encryption-algorithm-leveraging-3d-bnm-chaotic-maps-and-controlled-qubit-level-operations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/193776.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">10</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">17633</span> A Voice Signal Encryption Scheme Based on Chaotic Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hailang%20Yang">Hailang Yang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> To ensure the confidentiality and integrity of speech signals in communication transmission, this paper proposes a voice signal encryption scheme based on chaotic theory. Firstly, the scheme utilizes chaotic mapping to generate a key stream and then employs the key stream to perform bitwise exclusive OR (XOR) operations for encrypting the speech signal. Additionally, the scheme utilizes a chaotic hash function to generate a Message Authentication Code (MAC), which is appended to the encrypted data to verify the integrity of the data. Subsequently, we analyze the security performance and encryption efficiency of the scheme, comparing and optimizing it against existing solutions. Finally, experimental results demonstrate that the proposed scheme can resist common attacks, achieving high-quality encryption and speed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaotic%20theory" title="chaotic theory">chaotic theory</a>, <a href="https://publications.waset.org/abstracts/search?q=XOR%20encryption" title=" XOR encryption"> XOR encryption</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20hash%20function" title=" chaotic hash function"> chaotic hash function</a>, <a href="https://publications.waset.org/abstracts/search?q=Message%20Authentication%20Code%20%28MAC%29" title=" Message Authentication Code (MAC)"> Message Authentication Code (MAC)</a> </p> <a href="https://publications.waset.org/abstracts/183419/a-voice-signal-encryption-scheme-based-on-chaotic-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/183419.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">51</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">17632</span> Chaotic Sequence Noise Reduction and Chaotic Recognition Rate Improvement Based on Improved Local Geometric Projection</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rubin%20Dan">Rubin Dan</a>, <a href="https://publications.waset.org/abstracts/search?q=Xingcai%20Wang"> Xingcai Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Ziyang%20Chen"> Ziyang Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A chaotic time series noise reduction method based on the fusion of the local projection method, wavelet transform, and particle swarm algorithm (referred to as the LW-PSO method) is proposed to address the problem of false recognition due to noise in the recognition process of chaotic time series containing noise. The method first uses phase space reconstruction to recover the original dynamical system characteristics and removes the noise subspace by selecting the neighborhood radius; then it uses wavelet transform to remove D1-D3 high-frequency components to maximize the retention of signal information while least-squares optimization is performed by the particle swarm algorithm. The Lorenz system containing 30% Gaussian white noise is simulated and verified, and the phase space, SNR value, RMSE value, and K value of the 0-1 test method before and after noise reduction of the Schreiber method, local projection method, wavelet transform method, and LW-PSO method are compared and analyzed, which proves that the LW-PSO method has a better noise reduction effect compared with the other three common methods. The method is also applied to the classical system to evaluate the noise reduction effect of the four methods and the original system identification effect, which further verifies the superiority of the LW-PSO method. Finally, it is applied to the Chengdu rainfall chaotic sequence for research, and the results prove that the LW-PSO method can effectively reduce the noise and improve the chaos recognition rate. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Schreiber%20noise%20reduction" title="Schreiber noise reduction">Schreiber noise reduction</a>, <a href="https://publications.waset.org/abstracts/search?q=wavelet%20transform" title=" wavelet transform"> wavelet transform</a>, <a href="https://publications.waset.org/abstracts/search?q=particle%20swarm%20optimization" title=" particle swarm optimization"> particle swarm optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=0-1%20test%20method" title=" 0-1 test method"> 0-1 test method</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20sequence%20denoising" title=" chaotic sequence denoising"> chaotic sequence denoising</a> </p> <a href="https://publications.waset.org/abstracts/150600/chaotic-sequence-noise-reduction-and-chaotic-recognition-rate-improvement-based-on-improved-local-geometric-projection" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150600.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">17631</span> A Study of Chaos Control Schemes for Plankton-Fish Dynamics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rajinder%20Pal%20Kaur">Rajinder Pal Kaur</a>, <a href="https://publications.waset.org/abstracts/search?q=Amit%20Sharma"> Amit Sharma</a>, <a href="https://publications.waset.org/abstracts/search?q=Anuj%20Kumar%20Sharma"> Anuj Kumar Sharma</a>, <a href="https://publications.waset.org/abstracts/search?q=Govind%20Prasad%20Sahu"> Govind Prasad Sahu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The existence of chaos in the marine ecosystems may cause planktonic blooms, disease outbreaks, extinction of some plankton species, or some complex dynamics in oceans, which can adversely affect the sustainable marine ecosystem. The control of the chaotic plankton-fish dynamics is one of the main motives of marine ecologists. In this paper, we have studied the impact of phytoplankton refuge, zooplankton refuge, and fear effect on the chaotic plankton-fish dynamics incorporating phytoplankton, zooplankton, and fish biomass. The fear of fish predation transfers the unpredictable(chaotic) behavior of the plankton system to a stable orbit. The defense mechanism developed by prey species due to fear of the predator population can also terminate chaos from the given dynamics. Moreover, the impact of external disturbances like seasonality, noise, periodic fluctuations, and time delay on the given chaotic plankton system has also been discussed. We have applied feedback mechanisms to control the complexity of the system through the parameter noise. The non-feedback schemes are implemented to observe the role of seasonal force, periodic fluctuations, and time delay in suppressing the given chaotic system. Analytical results are substantiated by numerical simulation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=plankton" title="plankton">plankton</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=noise" title=" noise"> noise</a>, <a href="https://publications.waset.org/abstracts/search?q=seasonality" title=" seasonality"> seasonality</a>, <a href="https://publications.waset.org/abstracts/search?q=fluctuations" title=" fluctuations"> fluctuations</a>, <a href="https://publications.waset.org/abstracts/search?q=fear%20effect" title=" fear effect"> fear effect</a>, <a href="https://publications.waset.org/abstracts/search?q=prey%20refuge" title=" prey refuge"> prey refuge</a> </p> <a href="https://publications.waset.org/abstracts/172711/a-study-of-chaos-control-schemes-for-plankton-fish-dynamics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/172711.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">84</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">17630</span> A Very Efficient Pseudo-Random Number Generator Based On Chaotic Maps and S-Box Tables</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Hamdi">M. Hamdi</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Rhouma"> R. Rhouma</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Belghith"> S. Belghith </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Generating random numbers are mainly used to create secret keys or random sequences. It can be carried out by various techniques. In this paper we present a very simple and efficient pseudo-random number generator (PRNG) based on chaotic maps and S-Box tables. This technique adopted two main operations one to generate chaotic values using two logistic maps and the second to transform them into binary words using random S-Box tables. The simulation analysis indicates that our PRNG possessing excellent statistical and cryptographic properties. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Random%20Numbers" title="Random Numbers">Random Numbers</a>, <a href="https://publications.waset.org/abstracts/search?q=Chaotic%20map" title=" Chaotic map"> Chaotic map</a>, <a href="https://publications.waset.org/abstracts/search?q=S-box" title=" S-box"> S-box</a>, <a href="https://publications.waset.org/abstracts/search?q=cryptography" title=" cryptography"> cryptography</a>, <a href="https://publications.waset.org/abstracts/search?q=statistical%20tests" title=" statistical tests"> statistical tests</a> </p> <a href="https://publications.waset.org/abstracts/21757/a-very-efficient-pseudo-random-number-generator-based-on-chaotic-maps-and-s-box-tables" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21757.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">365</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">17629</span> Self-Organizing Control Systems for Unstable and Deterministic Chaotic Processes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mamyrbek%20A.%20Beisenbi">Mamyrbek A. Beisenbi</a>, <a href="https://publications.waset.org/abstracts/search?q=Nurgul%20M.%20Kissikova"> Nurgul M. Kissikova</a>, <a href="https://publications.waset.org/abstracts/search?q=Saltanat%20E.%20Beisembina"> Saltanat E. Beisembina</a>, <a href="https://publications.waset.org/abstracts/search?q=Salamat%20T.%20Suleimenova"> Salamat T. Suleimenova</a>, <a href="https://publications.waset.org/abstracts/search?q=Samal%20A.%20Kaliyeva"> Samal A. Kaliyeva</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper proposes a method for constructing a self-organizing control system for unstable and deterministic chaotic processes in the class of catastrophe “hyperbolic umbilic” for objects with m-inputs and n-outputs. The self-organizing control system is investigated by the universal gradient-velocity method of Lyapunov vector functions. The conditions for self-organization of the control system in the class of catastrophes “hyperbolic umbilic” are shown in the form of a system of algebraic inequalities that characterize the aperiodic robust stability in the stationary states of the system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=gradient-velocity%20method%20of%20Lyapunov%20vector-functions" title="gradient-velocity method of Lyapunov vector-functions">gradient-velocity method of Lyapunov vector-functions</a>, <a href="https://publications.waset.org/abstracts/search?q=hyperbolic%20umbilic" title=" hyperbolic umbilic"> hyperbolic umbilic</a>, <a href="https://publications.waset.org/abstracts/search?q=self-organizing%20control%20system" title=" self-organizing control system"> self-organizing control system</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/147574/self-organizing-control-systems-for-unstable-and-deterministic-chaotic-processes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/147574.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">17628</span> Melnikov Analysis for the Chaos of the Nonlocal Nanobeam Resting on Fractional-Order Softening Nonlinear Viscoelastic Foundations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Guy%20Joseph%20Eyebe">Guy Joseph Eyebe</a>, <a href="https://publications.waset.org/abstracts/search?q=Gambo%20Betchewe"> Gambo Betchewe</a>, <a href="https://publications.waset.org/abstracts/search?q=Alidou%20Mohamadou"> Alidou Mohamadou</a>, <a href="https://publications.waset.org/abstracts/search?q=Timoleon%20Crepin%20Kofane"> Timoleon Crepin Kofane</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, the dynamics of nanobeam resting on fractional order softening nonlinear viscoelastic pasternack foundations is studied. The Hamilton principle is used to derive the nonlinear equation of the motion. Approximate analytical solution is obtained by applying the standard averaging method. The Melnikov method is used to investigate the chaotic behaviors of device, the critical curve separating the chaotic and non-chaotic regions are found. It is shown that appearance of chaos in the system depends strongly on the fractional order parameter. <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=fractional-order" title=" fractional-order"> fractional-order</a>, <a href="https://publications.waset.org/abstracts/search?q=Melnikov%20method" title=" Melnikov method"> Melnikov method</a>, <a href="https://publications.waset.org/abstracts/search?q=nanobeam" title=" nanobeam"> nanobeam</a> </p> <a href="https://publications.waset.org/abstracts/102726/melnikov-analysis-for-the-chaos-of-the-nonlocal-nanobeam-resting-on-fractional-order-softening-nonlinear-viscoelastic-foundations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/102726.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">159</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">17627</span> Chaotic Motion of Single-Walled Carbon Nanotube Subject to Damping Effect</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tai-Ping%20Chang">Tai-Ping Chang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, the effects on chaotic motion of single-walled carbon nanotube (SWCNT) due to the linear and nonlinear damping are investigated. By using the Hamilton’s principle, the nonlinear governing equation of the single-walled carbon nanotube embedded in a matrix is derived. The Galerkin’s method is adopted to simplify the integro-partial differential equation into a nonlinear dimensionless governing equation for the SWCNT, which turns out to be a forced Duffing equation. The variations of the Lyapunov exponents of the SWCNT with damping and harmonic forcing amplitudes are investigated. Based on the computations of the top Lyapunov exponent, it is concluded that the chaotic motion of the SWCNT occurs when the amplitude of the periodic excitation exceeds certain value, besides, the chaotic motion of the SWCNT occurs with small linear damping and tiny nonlinear damping. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaotic%20motion" title="chaotic motion">chaotic motion</a>, <a href="https://publications.waset.org/abstracts/search?q=damping" title=" damping"> damping</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20exponents" title=" Lyapunov exponents"> Lyapunov exponents</a>, <a href="https://publications.waset.org/abstracts/search?q=single-walled%20carbon%20nanotube" title=" single-walled carbon nanotube"> single-walled carbon nanotube</a> </p> <a href="https://publications.waset.org/abstracts/43091/chaotic-motion-of-single-walled-carbon-nanotube-subject-to-damping-effect" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43091.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">320</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">17626</span> Synchronization of Chaotic T-System via Optimal Control as an Adaptive Controller</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hossein%20Kheiri">Hossein Kheiri</a>, <a href="https://publications.waset.org/abstracts/search?q=Bashir%20Naderi"> Bashir Naderi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamad%20Reza%20Niknam"> Mohamad Reza Niknam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we study the optimal synchronization of chaotic T-system with complete uncertain parameter. Optimal control laws and parameter estimation rules are obtained by using Hamilton-Jacobi-Bellman (HJB) technique and Lyapunov stability theorem. The derived control laws are optimal adaptive control and make the states of drive and response systems asymptotically synchronized. Numerical simulation shows the effectiveness and feasibility of the proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20stability" title="Lyapunov stability">Lyapunov stability</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronization" title=" synchronization"> synchronization</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=adaptive%20control" title=" adaptive control"> adaptive control</a> </p> <a href="https://publications.waset.org/abstracts/8820/synchronization-of-chaotic-t-system-via-optimal-control-as-an-adaptive-controller" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/8820.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">487</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">17625</span> Evolutional Substitution Cipher on Chaotic Attractor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Adda%20Ali-Pacha">Adda Ali-Pacha</a>, <a href="https://publications.waset.org/abstracts/search?q=Naima%20Hadj-Said"> Naima Hadj-Said</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Nowadays, the security of information is primarily founded on the calculation of algorithms that confidentiality depend on the number of bits necessary to define a cryptographic key. In this work, we introduce a new chaotic cryptosystem that we call evolutional substitution cipher on a chaotic attractor. In this research paper, we take the Henon attractor. The evolutional substitution cipher on Henon attractor is based on the principle of monoalphabetic cipher and it associates the plaintext at a succession of real numbers calculated from the attractor equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cryptography" title="cryptography">cryptography</a>, <a href="https://publications.waset.org/abstracts/search?q=substitution%20cipher" title=" substitution cipher"> substitution cipher</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos%20theory" title=" chaos theory"> chaos theory</a>, <a href="https://publications.waset.org/abstracts/search?q=Henon%20attractor" title=" Henon attractor"> Henon attractor</a>, <a href="https://publications.waset.org/abstracts/search?q=evolutional%20substitution%20cipher" title=" evolutional substitution cipher"> evolutional substitution cipher</a> </p> <a href="https://publications.waset.org/abstracts/4769/evolutional-substitution-cipher-on-chaotic-attractor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4769.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">429</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">17624</span> Experimental Networks Synchronization of Chua’s Circuit in Different Topologies</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manuel%20Meranza-Castillon">Manuel Meranza-Castillon</a>, <a href="https://publications.waset.org/abstracts/search?q=Rolando%20Diaz-Castillo"> Rolando Diaz-Castillo</a>, <a href="https://publications.waset.org/abstracts/search?q=Adrian%20Arellano-Delgado"> Adrian Arellano-Delgado</a>, <a href="https://publications.waset.org/abstracts/search?q=Cesar%20Cruz-Hernandez"> Cesar Cruz-Hernandez</a>, <a href="https://publications.waset.org/abstracts/search?q=Rosa%20Martha%20Lopez-Gutierrez"> Rosa Martha Lopez-Gutierrez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we deal with experimental network synchronization of chaotic nodes with different topologies. Our approach is based on complex system theory, and we use a master-slave configuration to couple the nodes in the networks. In particular, we design and implement electronically complex dynamical networks composed by nine coupled chaotic Chua’s circuits with topologies: in nearest-neighbor, small-world, open ring, star, and global. Also, network synchronization is evaluated according to a particular coupling strength for each topology. This study is important by the possible applications to private transmission of information in a chaotic communication network of multiple users. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=complex%20networks" title="complex networks">complex networks</a>, <a href="https://publications.waset.org/abstracts/search?q=Chua%27s%20circuit" title=" Chua's circuit"> Chua's circuit</a>, <a href="https://publications.waset.org/abstracts/search?q=experimental%20synchronization" title=" experimental synchronization"> experimental synchronization</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple%20users" title=" multiple users"> multiple users</a> </p> <a href="https://publications.waset.org/abstracts/64455/experimental-networks-synchronization-of-chuas-circuit-in-different-topologies" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64455.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">348</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">17623</span> Chaotic Analysis of Acid Rains with Times Series of pH Degree, Nitrate and Sulphate Concentration on Wet Samples</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aysegul%20Sener">Aysegul Sener</a>, <a href="https://publications.waset.org/abstracts/search?q=Gonca%20Tuncel%20Memis"> Gonca Tuncel Memis</a>, <a href="https://publications.waset.org/abstracts/search?q=Mirac%20Kamislioglu"> Mirac Kamislioglu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Chaos theory is one of the new paradigms of science since the last century. After determining chaos in the weather systems by Edward Lorenz the popularity of the theory was increased. Chaos is observed in many natural systems and studies continue to defect chaos to other natural systems. Acid rain is one of the environmental problems that have negative effects on environment and acid rains values are monitored continuously. In this study, we aim that analyze the chaotic behavior of acid rains in Turkey with the chaotic defecting approaches. The data of pH degree of rain waters, concentration of sulfate and nitrate data of wet rain water samples in the rain collecting stations which are located in different regions of Turkey are provided by Turkish State Meteorology Service. Lyapunov exponents, reconstruction of the phase space, power spectrums are used in this study to determine and predict the chaotic behaviors of acid rains. As a result of the analysis it is found that acid rain time series have positive Lyapunov exponents and wide power spectrums and chaotic behavior is observed in the acid rain time series. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=acid%20rains" title="acid rains">acid rains</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20analysis" title=" chaotic analysis"> chaotic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=Lypapunov%20exponents" title=" Lypapunov exponents"> Lypapunov exponents</a> </p> <a href="https://publications.waset.org/abstracts/105814/chaotic-analysis-of-acid-rains-with-times-series-of-ph-degree-nitrate-and-sulphate-concentration-on-wet-samples" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/105814.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">146</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">17622</span> An Improved Prediction Model of Ozone Concentration Time Series Based on Chaotic Approach </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nor%20Zila%20Abd%20Hamid">Nor Zila Abd Hamid</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohd%20Salmi%20M.%20Noorani"> Mohd Salmi M. Noorani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study is focused on the development of prediction models of the Ozone concentration time series. Prediction model is built based on chaotic approach. Firstly, the chaotic nature of the time series is detected by means of phase space plot and the Cao method. Then, the prediction model is built and the local linear approximation method is used for the forecasting purposes. Traditional prediction of autoregressive linear model is also built. Moreover, an improvement in local linear approximation method is also performed. Prediction models are applied to the hourly ozone time series observed at the benchmark station in Malaysia. Comparison of all models through the calculation of mean absolute error, root mean squared error and correlation coefficient shows that the one with improved prediction method is the best. Thus, chaotic approach is a good approach to be used to develop a prediction model for the Ozone concentration time series. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaotic%20approach" title="chaotic approach">chaotic approach</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20space" title=" phase space"> phase space</a>, <a href="https://publications.waset.org/abstracts/search?q=Cao%20method" title=" Cao method"> Cao method</a>, <a href="https://publications.waset.org/abstracts/search?q=local%20linear%20approximation%20method" title=" local linear approximation method"> local linear approximation method</a> </p> <a href="https://publications.waset.org/abstracts/2015/an-improved-prediction-model-of-ozone-concentration-time-series-based-on-chaotic-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2015.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">332</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">17621</span> Secured Embedding of Patient’s Confidential Data in Electrocardiogram Using Chaotic Maps</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Butta%20Singh">Butta Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a chaotic map based approach for secured embedding of patient’s confidential data in electrocardiogram (ECG) signal. The chaotic map generates predefined locations through the use of selective control parameters. The sample value difference method effectually hides the confidential data in ECG sample pairs at these predefined locations. Evaluation of proposed method on all 48 records of MIT-BIH arrhythmia ECG database demonstrates that the embedding does not alter the diagnostic features of cover ECG. The secret data imperceptibility in stego-ECG is evident through various statistical and clinical performance measures. Statistical metrics comprise of Percentage Root Mean Square Difference (PRD) and Peak Signal to Noise Ratio (PSNR). Further, a comparative analysis between proposed method and existing approaches was also performed. The results clearly demonstrated the superiority of proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaotic%20maps" title="chaotic maps">chaotic maps</a>, <a href="https://publications.waset.org/abstracts/search?q=ECG%20steganography" title=" ECG steganography"> ECG steganography</a>, <a href="https://publications.waset.org/abstracts/search?q=data%20embedding" title=" data embedding"> data embedding</a>, <a href="https://publications.waset.org/abstracts/search?q=electrocardiogram" title=" electrocardiogram"> electrocardiogram</a> </p> <a href="https://publications.waset.org/abstracts/78602/secured-embedding-of-patients-confidential-data-in-electrocardiogram-using-chaotic-maps" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/78602.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">195</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">17620</span> Security of Database Using Chaotic Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Eman%20W.%20Boghdady">Eman W. Boghdady</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20R.%20Shehata"> A. R. Shehata</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20A.%20Azem"> M. A. Azem</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Database (DB) security demands permitting authorized users and prohibiting non-authorized users and intruders actions on the DB and the objects inside it. Organizations that are running successfully demand the confidentiality of their DBs. They do not allow the unauthorized access to their data/information. They also demand the assurance that their data is protected against any malicious or accidental modification. DB protection and confidentiality are the security concerns. There are four types of controls to obtain the DB protection, those include: access control, information flow control, inference control, and cryptographic. The cryptographic control is considered as the backbone for DB security, it secures the DB by encryption during storage and communications. Current cryptographic techniques are classified into two types: traditional classical cryptography using standard algorithms (DES, AES, IDEA, etc.) and chaos cryptography using continuous (Chau, Rossler, Lorenz, etc.) or discreet (Logistics, Henon, etc.) algorithms. The important characteristics of chaos are its extreme sensitivity to initial conditions of the system. In this paper, DB-security systems based on chaotic algorithms are described. The Pseudo Random Numbers Generators (PRNGs) from the different chaotic algorithms are implemented using Matlab and their statistical properties are evaluated using NIST and other statistical test-suits. Then, these algorithms are used to secure conventional DB (plaintext), where the statistical properties of the ciphertext are also tested. To increase the complexity of the PRNGs and to let pass all the NIST statistical tests, we propose two hybrid PRNGs: one based on two chaotic Logistic maps and another based on two chaotic Henon maps, where each chaotic algorithm is running side-by-side and starting from random independent initial conditions and parameters (encryption keys). The resulted hybrid PRNGs passed the NIST statistical test suit. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=algorithms%20and%20data%20structure" title="algorithms and data structure">algorithms and data structure</a>, <a href="https://publications.waset.org/abstracts/search?q=DB%20security" title=" DB security"> DB security</a>, <a href="https://publications.waset.org/abstracts/search?q=encryption" title=" encryption"> encryption</a>, <a href="https://publications.waset.org/abstracts/search?q=chaotic%20algorithms" title=" chaotic algorithms"> chaotic algorithms</a>, <a href="https://publications.waset.org/abstracts/search?q=Matlab" title=" Matlab"> Matlab</a>, <a href="https://publications.waset.org/abstracts/search?q=NIST" title=" NIST"> NIST</a> </p> <a href="https://publications.waset.org/abstracts/9108/security-of-database-using-chaotic-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9108.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">265</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">17619</span> Dynamics of Mach Zehnder Modulator in Open and Closed Loop Bias Condition</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramonika%20Sengupta">Ramonika Sengupta</a>, <a href="https://publications.waset.org/abstracts/search?q=Stuti%20Kachhwaha"> Stuti Kachhwaha</a>, <a href="https://publications.waset.org/abstracts/search?q=Asha%20Adhiya"> Asha Adhiya</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Satya%20Raja%20Sekhar"> K. Satya Raja Sekhar</a>, <a href="https://publications.waset.org/abstracts/search?q=Rajwinder%20Kaur"> Rajwinder Kaur</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerous efforts have been done in the past decade to develop the methods of secure communication that are free from interception and eavesdropping. In fiber optic communication, chaotic optical carrier signals are used for data encryption in secure data transmission. Mach-Zehnder Modulators (MZM) are the key components for generating the chaotic signals to be used as optical carriers. This paper presents the dynamics of a lithium niobate MZM modulator under various biasing conditions. The chaotic fluctuations of the intensity of a laser diode have been generated using the electro-optic MZM modulator operating in a highly nonlinear regime. The modulator is driven in closed loop by its own output at an earlier time. When used as an electro-optic oscillator employing delayed feedback, the MZM displays a wide range of output waveforms of varying complexity. The dynamical behavior of the system ranges from periodic to nonlinear oscillations. The nonlinearity displayed by the system is reproducible and is easily controllable. In this paper, we demonstrate a wide variety of optical signals generated by MZM using easily controllable device parameters in both open and close loop bias conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaotic%20carrier" title="chaotic carrier">chaotic carrier</a>, <a href="https://publications.waset.org/abstracts/search?q=fiber%20optic%20communication" title=" fiber optic communication"> fiber optic communication</a>, <a href="https://publications.waset.org/abstracts/search?q=Mach-Zehnder%20modulator" title=" Mach-Zehnder modulator"> Mach-Zehnder modulator</a>, <a href="https://publications.waset.org/abstracts/search?q=secure%20data%20transmission" title=" secure data transmission"> secure data transmission</a> </p> <a href="https://publications.waset.org/abstracts/95076/dynamics-of-mach-zehnder-modulator-in-open-and-closed-loop-bias-condition" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/95076.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">272</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">17618</span> The Uniting Control Lyapunov Functions in Permanent Magnet Synchronous Linear Motor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yi-Fei%20Yang">Yi-Fei Yang</a>, <a href="https://publications.waset.org/abstracts/search?q=Nai-Bao%20He"> Nai-Bao He</a>, <a href="https://publications.waset.org/abstracts/search?q=Shao-Bang%20Xing"> Shao-Bang Xing</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigates the permanent magnet synchronous linear motor (PMSLM) chaotic motion under the specific physical parameters, the stability and the security of motor-driven system will be unavoidably influenced. Therefore, it is really necessary to investigate the methods of controlling or suppressing chaos in PMSLM. Firstly, we derive a chaotic model of PMSLM in the closed-loop system. Secondly, in order to realize the local asymptotic stabilization of the mechanical subsystem and the global stabilization of the motor-driven system including electrical subsystem, we propose an improved uniting control lyapunov functions by introducing backstepping approach. Finally, an illustrated example is also given to show the electiveness of the obtained results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linear%20motor" title="linear motor">linear motor</a>, <a href="https://publications.waset.org/abstracts/search?q=lyapunov%20functions" title=" lyapunov functions"> lyapunov functions</a>, <a href="https://publications.waset.org/abstracts/search?q=chao%20control" title=" chao control"> chao control</a>, <a href="https://publications.waset.org/abstracts/search?q=hybrid%20controller" title=" hybrid controller"> hybrid controller</a> </p> <a href="https://publications.waset.org/abstracts/46677/the-uniting-control-lyapunov-functions-in-permanent-magnet-synchronous-linear-motor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46677.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">338</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">17617</span> Investigating the Effects of Data Transformations on a Bi-Dimensional Chi-Square Test</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alexandru%20George%20Vaduva">Alexandru George Vaduva</a>, <a href="https://publications.waset.org/abstracts/search?q=Adriana%20Vlad"> Adriana Vlad</a>, <a href="https://publications.waset.org/abstracts/search?q=Bogdan%20Badea"> Bogdan Badea</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this research, we conduct a Monte Carlo analysis on a two-dimensional χ2 test, which is used to determine the minimum distance required for independent sampling in the context of chaotic signals. We investigate the impact of transforming initial data sets from any probability distribution to new signals with a uniform distribution using the Spearman rank correlation on the χ2 test. This transformation removes the randomness of the data pairs, and as a result, the observed distribution of χ2 test values differs from the expected distribution. We propose a solution to this problem and evaluate it using another chaotic signal. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=chaotic%20signals" title="chaotic signals">chaotic signals</a>, <a href="https://publications.waset.org/abstracts/search?q=logistic%20map" title=" logistic map"> logistic map</a>, <a href="https://publications.waset.org/abstracts/search?q=Pearson%E2%80%99s%20test" title=" Pearson’s test"> Pearson’s test</a>, <a href="https://publications.waset.org/abstracts/search?q=Chi%20Square%20test" title=" Chi Square test"> Chi Square test</a>, <a href="https://publications.waset.org/abstracts/search?q=bivariate%20distribution" title=" bivariate distribution"> bivariate distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=statistical%20independence" title=" statistical independence"> statistical independence</a> </p> <a href="https://publications.waset.org/abstracts/161938/investigating-the-effects-of-data-transformations-on-a-bi-dimensional-chi-square-test" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/161938.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">17616</span> Analysis of Cardiac Health Using Chaotic Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Chandra%20Mukherjee">Chandra Mukherjee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The prevalent knowledge of the biological systems is based on the standard scientific perception of natural equilibrium, determination and predictability. Recently, a rethinking of concepts was presented and a new scientific perspective emerged that involves complexity theory with deterministic chaos theory, nonlinear dynamics and theory of fractals. The unpredictability of the chaotic processes probably would change our understanding of diseases and their management. The mathematical definition of chaos is defined by deterministic behavior with irregular patterns that obey mathematical equations which are critically dependent on initial conditions. The chaos theory is the branch of sciences with an interest in nonlinear dynamics, fractals, bifurcations, periodic oscillations and complexity. Recently, the biomedical interest for this scientific field made these mathematical concepts available to medical researchers and practitioners. Any biological network system is considered to have a nominal state, which is recognized as a homeostatic state. In reality, the different physiological systems are not under normal conditions in a stable state of homeostatic balance, but they are in a dynamically stable state with a chaotic behavior and complexity. Biological systems like heart rhythm and brain electrical activity are dynamical systems that can be classified as chaotic systems with sensitive dependence on initial conditions. In biological systems, the state of a disease is characterized by a loss of the complexity and chaotic behavior, and by the presence of pathological periodicity and regulatory behavior. The failure or the collapse of nonlinear dynamics is an indication of disease rather than a characteristic of health. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=HRV" title="HRV">HRV</a>, <a href="https://publications.waset.org/abstracts/search?q=HRVI" title=" HRVI"> HRVI</a>, <a href="https://publications.waset.org/abstracts/search?q=LF" title=" LF"> LF</a>, <a href="https://publications.waset.org/abstracts/search?q=HF" title=" HF"> HF</a>, <a href="https://publications.waset.org/abstracts/search?q=DII" title=" DII"> DII</a> </p> <a href="https://publications.waset.org/abstracts/26367/analysis-of-cardiac-health-using-chaotic-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26367.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">425</span> </span> </div> 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