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E-book: Advances and Applications in Chaotic Systems

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This book reports on the latest advances andapplications of chaotic systems. Itconsists of 25 contributed chapters by experts who are specialized in thevarious topics addressed in this book. The chapters cover a broad range oftopics of chaotic systems such as chaos, hyperchaos, jerk systems, hyperjerksystems, conservative and dissipative systems, circulant chaotic systems,multi-scroll chaotic systems, finance chaotic system, highly chaotic systems,chaos control, chaos synchronization, circuit realization and applications ofchaos theory in secure communications, mobile robot, memristors, cellularneural networks, etc. Special importance was given to chapters offeringpractical solutions, modeling and novel control methods for the recent researchproblems in chaos theory.This book will serve as a reference book for graduatestudents and researchers with a basic knowledge of chaos theory and controlsystems. The resulting design procedures on the chaotic systems are emphasi

zedusing MATLAB software.

Synchronization Phenomena in CoupledHyperchaotic Hidden Oscillators using a NonlinearOpen Loop Controller.- A Chaotic Hyperjerk System Based on Memristive Device.- ANovel Hyperjerk System with Two Cubic Nonlinearities and Its Adaptive Control.-A Novel Conservative Jerk Chaotic System with Two Cubic Nonlinearities and Its BacksteppingControl.- Adaptive Backstepping Control, Synchronization and Circuit Simulationof a Novel Jerk Chaotic System with a Quartic Nonlinearity.- A Seven-Term NovelJerk Chaotic System and Its Adaptive Control.- Adaptive Control and CircuitSimulation of a Novel 4-D Hyperchaotic System with Two Quadratic Nonlinearities.- Analysis, Adaptive Control andSynchronization of a Novel 3-D Highly Chaotic System.- Qualitative Analysis andAdaptive Control of a Novel 4-D Hyperchaotic System.- Global Chaos Control andSynchronization of a Novel Two-Scroll Chaotic System with Three QuadraticNonlinearities.- A Novel 3-D Circulant Chaotic System with Labyrinth Chao

s andIts Adaptive Control.- A 3-D Novel JerkChaotic System and Its Application in Secure Communication System andNavigation Mobile Robot.- On the Verification for Realizing Multi-Scroll ChaoticAttractors with High Maximum Lyapunov Exponents and Entropy.- ChaoticSynchronization of CNNs in Small-World Topology Applied to Data Encryption.- FuzzyAdaptive Synchronization of Incommensurate Fractional-Order Chaotic Systems.- Implementingof a Laboratory-Based Educational Tool for Teaching Nonlinear Circuits andChaos.- Control ofShimizu-Morioka Chaotic System with Passive Control, Sliding Mode Control andBackstepping Design Methods: A Comparative Analysis.- Generalized ProjectiveSynchronization of a Novel Chaotic System with a Quartic Nonlinearity via Adaptive Control.- ANovel 4-D Hyperchaotic Chemical Reactor System and its Adaptive Control.- A Novel 5-D Hyperchaotic System with a Lineof Equilibrium Points and its Adaptive Control.-Analysis, Control and CircuitSimulation of

a Novel 3-D Finance Chaotic System.- A Novel Highly HyperchaoticSystem and its Adaptive Control.- Sliding Mode Controller Design for the GlobalStabilization of Chaotic Systems and Its Application to Vaidyanathan JerkSystem.- Adaptive Control and Synchronization of a Rod-Type Plasma TorchChaotic System via Backstepping Control Method.- Analysis, Adaptive Control andSynchronization of a Novel 3-D Chaotic System with a Quartic Nonlinearity.
Synchronization Phenomena in Coupled Hyperchaotic Oscillators with Hidden Attractors Using a Nonlinear Open Loop Controller
1(38)
Ch.K. Volos
V.-T. Pham
S. Vaidyanathan
I.M. Kyprianidis
I.N. Stouboulos
A Chaotic Hyperjerk System Based on Memristive Device
39(20)
Viet-Thanh Pham
Sundarapandian Vaidyanathan
Christos K. Volos
Sajad Jafari
Xiong Wang
A Novel Hyperjerk System with Two Quadratic Nonlinearities and Its Adaptive Control
59(26)
Sundarapandian Vaidyanathan
A Novel Conservative Jerk Chaotic System With Two Cubic Nonlinearities and Its Adaptive Backstepping Control
85(24)
Sundarapandian Vaidyanathan
Christos K. Volos
Adaptive Backstepping Control, Synchronization and Circuit Simulation of a Novel Jerk Chaotic System with a Quartic Nonlinearity
109(28)
Sundarapandian Vaidyanathan
Viet-Thanh Pham
Christos K. Volos
A Seven-Term Novel Jerk Chaotic System and Its Adaptive Control
137(26)
Sundarapandian Vaidyanathan
Adaptive Control and Circuit Simulation of a Novel 4-D Hyperchaotic System with Two Quadratic Nonlinearities
163(26)
Sundarapandian Vaidyanathan
Christos K. Volos
Viet-Thanh Pham
Analysis, Adaptive Control and Synchronization of a Novel 3-D Highly Chaotic System
189(22)
Sundarapandian Vaidyanathan
Qualitative Analysis and Adaptive Control of a Novel 4-D Hyperchaotic System
211(24)
Sundarapandian Vaidyanathan
Global Chaos Control and Synchronization of a Novel Two-Scroll Chaotic System with Three Quadratic Nonlinearities
235(22)
Sundarapandian Vaidyanathan
A Novel 3-D Circulant Chaotic System with Labyrinth Chaos and Its Adaptive Control
257(26)
Sundarapandian Vaidyanathan
A 3-D Novel Jerk Chaotic System and Its Application in Secure Communication System and Mobile Robot Navigation
283(28)
Aceng Sambas
Sundarapandian Vaidyanathan
Mustafa Mamat
W.S. Mada Sanjaya
Darmawan Setia Rahayu
On the Verification for Realizing Multi-scroll Chaotic Attractors with High Maximum Lyapunov Exponent and Entropy
311(26)
E. Tlelo-Cuautle
M. Sanchez-Sanchez
V.H. Carbajal-Gomez
A.D. Pano-Azucena
L.G. de la Fraga
G. Rodriguez-Gomez
Chaotic Synchronization of CNNs in Small-World Topology Applied to Data Encryption
337(26)
A.G. Soriano-Sanchez
C. Posadas-Castillo
M.A. Platas-Garza
C. Elizondo-Gonzalez
Fuzzy Adaptive Synchronization of Incommensurate Fractional-Order Chaotic Systems
363(16)
A. Bouzeriba
A. Boulkroune
T. Bouden
S. Vaidyanathan
Implementation of a Laboratory-Based Educational Tool for Teaching Nonlinear Circuits and Chaos
379(30)
A.E. Giakoumis
Ch.K. Volos
I.N. Stouboulos
I.M. Kyprianidis
H.E. Nistazakis
G.S. Tombras
Control of Shimizu-Morioka Chaotic System with Passive Control, Sliding Mode Control and Backstepping Design Methods: A Comparative Analysis
409(18)
Ugur Erkin Kocamaz
Yilmaz Uyaroglu
Sundarapandian Vaidyanathan
Generalized Projective Synchronization of a Novel Chaotic System with a Quartic Nonlinearity via Adaptive Control
427(20)
Sundarapandian Vaidyanathan
Sarasu Pakiriswamy
A Novel 4-D Hyperchaotic Chemical Reactor System and Its Adaptive Control
447(24)
Sundarapandian Vaidyanathan
Abdesselem Boulkroune
A Novel 5-D Hyperchaotic System with a Line of Equilibrium Points and Its Adaptive Control
471(24)
Sundarapandian Vaidyanathan
Analysis, Control and Circuit Simulation of a Novel 3-D Finance Chaotic System
495(18)
S. Vaidyanathan
Ch.K. Volos
O.I. Tacha
I.M. Kyprianidis
I.N. Stouboulos
V.-T. Pham
A Novel Highly Hyperchaotic System and Its Adaptive Control
513(24)
Sundarapandian Vaidyanathan
Sliding Mode Controller Design for the Global Stabilization of Chaotic Systems and Its Application to Vaidyanathan Jerk System
537(16)
Sundarapandian Vaidyanathan
Adaptive Control and Synchronization of a Rod-Type Plasma Torch Chaotic System via Backstepping Control Method
553(26)
Sundarapandian Vaidyanathan
Analysis, Adaptive Control and Synchronization of a Novel 3-D Chaotic System with a Quartic Nonlinearity
579
Sundarapandian Vaidyanathan