Advances and Applications in Chaotic Systems

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 emphasizedusing MATLAB software.

Synchronization Phenomena in Coupled
Hyperchaotic Hidden Oscillators using a Nonlinear
Open Loop Controller. - A Chaotic Hyperjerk System Based on Memristive Device. - A
Novel Hyperjerk System with Two Cubic Nonlinearities and Its Adaptive Control. -
A Novel Conservative Jerk Chaotic System with Two Cubic Nonlinearities and Its Backstepping
Control. - Adaptive Backstepping Control, Synchronization and Circuit Simulation
of a Novel Jerk Chaotic System with a Quartic Nonlinearity. - A Seven-Term Novel
Jerk Chaotic System and Its Adaptive Control. - Adaptive Control and Circuit
Simulation of a Novel 4-D Hyperchaotic System with Two Quadratic Nonlinearities. - Analysis, Adaptive Control and
Synchronization of a Novel 3-D Highly Chaotic System. - Qualitative Analysis and
Adaptive Control of a Novel 4-D Hyperchaotic System. - Global Chaos Control and
Synchronization of a Novel Two-Scroll Chaotic System with Three Quadratic
Nonlinearities. - A Novel 3-D Circulant Chaotic System with Labyrinth Chaosand
Its Adaptive Control. - A 3-D Novel Jerk
Chaotic System and Its Application in Secure Communication System and
Navigation Mobile Robot. - On the Verification for Realizing Multi-Scroll Chaotic
Attractors with High Maximum Lyapunov Exponents and Entropy. - Chaotic
Synchronization of CNNs in Small-World Topology Applied to Data Encryption. - Fuzzy
Adaptive Synchronization of Incommensurate Fractional-Order Chaotic Systems. - Implementing
of a Laboratory-Based Educational Tool for Teaching Nonlinear Circuits and
Chaos. - Control of
Shimizu-Morioka Chaotic System with Passive Control, Sliding Mode Control and
Backstepping Design Methods: A Comparative Analysis. - Generalized Projective
Synchronization of a Novel Chaotic System with a Quartic Nonlinearity via Adaptive Control. - A
Novel 4-D Hyperchaotic Chemical Reactor System and its Adaptive Control. - A Novel 5-D Hyperchaotic System with a Line
of Equilibrium Points and its Adaptive Control. -Analysis, Control and Circuit
Simulation of aNovel 3-D Finance Chaotic System. - A Novel Highly Hyperchaotic
System and its Adaptive Control. - Sliding Mode Controller Design for the Global
Stabilization of Chaotic Systems and Its Application to Vaidyanathan Jerk
System. - Adaptive Control and Synchronization of a Rod-Type Plasma Torch
Chaotic System via Backstepping Control Method. - Analysis, Adaptive Control and
Synchronization of a Novel 3-D Chaotic System with a Quartic Nonlinearity.