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Record Nr. |
UNINA9910254252003321 |
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Titolo |
Advances in Chaos Theory and Intelligent Control [[electronic resource] /] / edited by Ahmad Taher Azar, Sundarapandian Vaidyanathan |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (XII, 873 p. 420 illus., 127 illus. in color.) |
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Collana |
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Studies in Fuzziness and Soft Computing, , 1434-9922 ; ; 337 |
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Disciplina |
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Soggetti |
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Computational intelligence |
Vibration |
Dynamical systems |
Dynamics |
Control engineering |
Robotics |
Mechatronics |
Artificial intelligence |
Statistical physics |
Computational Intelligence |
Vibration, Dynamical Systems, Control |
Control, Robotics, Mechatronics |
Artificial Intelligence |
Complex Systems |
Statistical Physics and Dynamical Systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Intro -- Preface -- About the Subject -- About the Book -- Objectives of the Book -- Organization of the Book -- Book Features -- Audience -- Acknowledgements -- Contents -- Part I Advances in Chaos Theory -- A Novel Design Approach of a Nonlinear Resistor Based on a Memristor Emulator -- 1 Introduction -- 2 Memristor---A Brief Review -- 2.1 The Invention -- 2.2 The First Physical Model of the Memristor -- 3 Memristor's Emulators -- 3.1 Related Works -- 3.2 The Proposed |
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Memristor Emulator -- 4 Implementation of a Nonlinear Resistor Based on the Memristor Emulator -- 5 Nonlinear Circuit Based on the Proposed Nonlinear Resistor -- 5.1 Numerical Simulation Results -- 5.2 Simulation Results with Multisim -- 6 Conclusion -- References -- Dynamics, Synchronization and SPICE Implementation of a Memristive System with Hidden Hyperchaotic Attractor -- 1 Introduction -- 2 Related Work -- 3 Model of the Memristive System -- 4 Dynamics and Properties of the Memristive System -- 5 Adaptive Anti-synchronization of the Memristive System -- 6 Circuit Realization of the Memristive System -- 7 Conclusion -- References -- Synchronization of Fractional Chaotic and Hyperchaotic Systems Using an Extended Active Control -- 1 Introduction -- 2 Related Work -- 3 Preliminaries -- 4 Synchronization Techniques -- 4.1 Equations Not Involving Delay -- 4.2 Equations Involving Delay -- 5 Examples -- 5.1 Synchronization of Chaotic Fractional Liu System -- 5.2 Synchronization of Hyperchaotic Fractional New System -- 5.3 Synchronization of Fractional Order Delay System -- 6 Discussion -- 7 Conclusion -- References -- A Novel 4-D Hyperchaotic Thermal Convection System and Its Adaptive Control -- 1 Introduction -- 2 A Novel 4-D Hyperchaotic Thermal Convection System -- 3 Analysis of the Novel 4-D Hyperchaotic Thermal Convection System -- 3.1 Dissipativity. |
3.2 Equilibrium Points -- 3.3 Rotation Symmetry About the x3-axis -- 3.4 Invariance -- 3.5 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Control of the Novel Hyperchaotic Thermal Convection System -- 5 Adaptive Synchronization of the Identical Novel Hyperchaotic Systems -- 6 Conclusions -- References -- Synchronization of Chaotic Dynamical Systems in Discrete-Time -- 1 Introduction -- 2 Complete Synchronization for Arbitrary 3D Quadratic Maps -- 2.1 General Synchronization Approach -- 2.2 Illustrative Example -- 2.3 Conclusion -- 3 Complete Synchronization Criterions for N-Dimensional Maps -- 3.1 Synchronization Criterion Via Controlling( bij) 1leqi,jleqn -- 3.2 Synchronization Criterion Via Controlling ( bii)1leqileqn -- 3.3 Numerical Application -- 3.4 Conclusion -- 4 Matrix Projective Synchronization for Different Dimensional Maps -- 4.1 Matrix Projective Synchronization Criterion -- 4.2 Simulation Example -- 4.3 Conclusion -- 5 Inverse Matrix Projective Synchronization Between n-D and m-D Maps -- 5.1 Synchronization Results -- 5.2 Numerical Results -- 5.3 Conclusion -- 6 Synchronization in Different Dimensions Using Two Scaling Matrices -- 6.1 Synchronization of 2-D Drive System and 3-D Response System in 2D -- 6.2 Synchronization of 2D Drive System and 3D Response System in 3D -- 6.3 Numerical Simulation -- 6.4 Conclusion -- References -- Mathematical Modelling of Chaotic Jerk Circuit and Its Application in Secure Communication System -- 1 Introduction -- 2 Mathematical Model of Jerk Circuit -- 2.1 Equilibrium Point Analysis -- 2.2 Numerical Simulation Using MATLAB -- 2.3 Lyapunov Exponent Analysis -- 2.4 Bifurcation Diagram Analysis -- 2.5 Frequency Spectrum of Chaotic System -- 2.6 Poincare Map Analysis -- 3 Analog Circuit Simulation Using MultiSIM -- 4 Circuit Design and Implementation for the Jerk Circuit. |
5 Bidirectional Chaotic Synchronization -- 5.1 Mathematical Model of Bidirectional Coupling -- 5.2 Analog Circuit Simulation Using MultiSIM -- 5.3 Circuit Design and Implementation for the Jerk Circuit -- 6 Applications in Secure Communication System -- 6.1 Mathematical Model of Secure Communication System -- 6.2 Numerical Simulation of Secure Communication Systems -- 6.3 Analog Circuit Simulation of Secure Communication System -- 6.4 Analog Experimental Results of |
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Secure Communication Systems -- 7 Conclusions -- References -- Dynamic Analysis, Adaptive Feedback Control and Synchronization of An Eight-Term 3-D Novel Chaotic System with Three Quadratic Nonlinearities -- 1 Introduction -- 2 A Novel 3-D Chaotic System -- 3 Analysis of the 3-D Novel Chaotic System -- 3.1 Dissipativity -- 3.2 Invariance -- 3.3 Equilibria -- 3.4 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Feedback Control of the 3-D Novel Chaotic System -- 5 Adaptive Synchronization of the Identical 3-D Novel Chaotic Systems -- 6 Conclusions -- References -- Qualitative Study and Adaptive Control of a Novel 4-D Hyperchaotic System with Three Quadratic Nonlinearities -- 1 Introduction -- 2 A Novel 4-D Hyperchaotic System -- 3 Analysis of the Novel 4-D Hyperchaotic System -- 3.1 Dissipativity -- 3.2 Equilibrium Points -- 3.3 Rotation Symmetry About the x3-axis -- 3.4 Invariance -- 3.5 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Control of the Novel Hyperchaotic System -- 5 Adaptive Synchronization of the Identical Novel Hyperchaotic Systems -- 6 Conclusions -- References -- A Novel 4-D Four-Wing Chaotic System with Four Quadratic Nonlinearities and Its Synchronization via Adaptive Control Method -- 1 Introduction -- 2 A Novel 4-D Four-Wing Chaotic System -- 3 Analysis of the Novel 4-D Four-Wing Chaotic System -- 3.1 Dissipativity -- 3.2 Rotation Symmetry. |
3.3 Equilibria -- 3.4 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Synchronization of the Identical Novel Four-Wing Chaotic Systems -- 5 Conclusions -- References -- Adaptive Control and Synchronization of Halvorsen Circulant Chaotic Systems -- 1 Introduction -- 2 Halvorsen Circulant Chaotic System -- 3 Properties of the Halvorsen Circulant Chaotic System -- 3.1 Dissipativity -- 3.2 Equilibrium Point -- 3.3 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Control of Halvorsen Circulant Chaotic System -- 5 Adaptive Synchronization of the Identical Halvorsen Circulant Chaotic Systems -- 6 Conclusions -- References -- Adaptive Backstepping Control and Synchronization of a Novel 3-D Jerk System with an Exponential Nonlinearity -- 1 Introduction -- 2 A Novel 3-D Jerk Chaotic System -- 3 Properties of the Novel Jerk Chaotic System -- 3.1 Dissipativity -- 3.2 Equilibrium Point -- 3.3 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Control of Novel Jerk Chaotic System -- 5 Adaptive Synchronization of Identical Novel Jerk Chaotic Systems -- 6 Conclusions -- References -- Generalized Projective Synchronization of a Novel Hyperchaotic Four-Wing System via Adaptive Control Method -- 1 Introduction -- 2 A Novel 4-D Hyperchaotic Four-Wing System -- 3 Analysis of the Novel 4-D Hyperchaotic Four-Wing System -- 3.1 Dissipativity -- 3.2 Equilibria -- 3.3 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Generalized Projective Synchronization of the Identical Novel Hyperchaotic Systems -- 5 Conclusions -- References -- Hyperchaos, Control, Synchronization and Circuit Simulation of a Novel 4-D Hyperchaotic System with Three Quadratic Nonlinearities -- 1 Introduction -- 2 A Novel 4-D Hyperchaotic System -- 3 Analysis of the Novel 4-D Hyperchaotic System -- 3.1 Dissipativity -- 3.2 Equilibrium Points. |
3.3 Rotation Symmetry About the x3-axis -- 3.4 Invariance -- 3.5 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Control of the Novel Hyperchaotic System -- 5 Adaptive Synchronization of the Identical Novel Hyperchaotic Systems -- 6 Circuit Simulation of the Novel Hyperchaotic System -- 7 Conclusions -- References -- Complete Synchronization of Hyperchaotic Systems via Novel Sliding Mode Control -- 1 Introduction -- 2 Problem |
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Statement -- 3 A Novel Sliding Mode Control Method for Solving Complete Synchronization Problem -- 4 Hyperchaotic Vaidyanathan System -- 5 Qualitative Properties of the Hyperchaotic Vaidyanathan System -- 5.1 Dissipativity -- 5.2 Equilibrium Points -- 5.3 Lyapunov Exponents and Kaplan-Yorke Dimension -- 6 Sliding Mode Controller Design for the Complete Synchronization of Hyperchaotic Vaidyanathan Systems -- 7 Conclusions -- References -- A Novel 3-D Conservative Jerk Chaotic System with Two Quadratic Nonlinearities and Its Adaptive Control -- 1 Introduction -- 2 A Novel 3-D Jerk Chaotic System -- 3 Properties of the Novel Jerk Chaotic System -- 3.1 Volume Conservation of the Flow -- 3.2 Equilibrium Points -- 3.3 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Backstepping Control of Novel Conservative Jerk Chaotic System -- 5 Adaptive Synchronization of Identical Novel Jerk Chaotic Systems -- 6 Conclusions -- References -- A Novel 3-D Circulant Highly Chaotic System with Labyrinth Chaos -- 1 Introduction -- 2 A Novel 3-D Circulant Highly Chaotic System with Labyrinth Chaos -- 3 Analysis of the Novel 3-D Circulant Highly Chaotic System -- 3.1 Dissipativity -- 3.2 Equilibrium Points -- 3.3 Lyapunov Exponents and Kaplan-Yorke Dimension -- 4 Adaptive Control of the Novel Circulant Highly Chaotic System -- 5 Adaptive Synchronization of the Identical Novel Circulant Highly Chaotic Systems -- 6 Conclusions. |
References. |
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Sommario/riassunto |
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The book reports on the latest advances in and applications of chaos theory and intelligent control. Written by eminent scientists and active researchers and using a clear, matter-of-fact style, it covers advanced theories, methods, and applications in a variety of research areas, and explains key concepts in modeling, analysis, and control of chaotic and hyperchaotic systems. Topics include fractional chaotic systems, chaos control, chaos synchronization, memristors, jerk circuits, chaotic systems with hidden attractors, mechanical and biological chaos, and circuit realization of chaotic systems. The book further covers fuzzy logic controllers, evolutionary algorithms, swarm intelligence, and petri nets among other topics. Not only does it provide the readers with chaos fundamentals and intelligent control-based algorithms; it also discusses key applications of chaos as well as multidisciplinary solutions developed via intelligent control. The book is a timely and comprehensive reference guide for graduate students, researchers, and practitioners in the areas of chaos theory and intelligent control. . |
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