Chaotic Systems: Dynamics, Algorithms and Synchronization

Victor Powell (Editor)

Series: Mathematics Research Developments
BISAC: MAT040000




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This book provides new research on the dynamics, algorithms and synchronization of chaotic systems. Chapter One introduces some nonlinear techniques for the synchronization of a class of chaotic oscillator under the framework of observer design from control theory. Chapter Two discusses in detail the application of a novel multi-domain spectral collocation approach for finding solutions of ordinary differential equations that exhibit general chaotic behaviour. Chapter Three designs an adaptive state feedback controller guaranteeing the asymptotic stability followed by the synchronization of the nonlinear discrete-time error of two identical hyper chaotic systems. (Imprint: Nova)


Chapter 1. Synchronization of Chaotic Dynamic Systems via Nonlinear Observers
Ricardo Aguilar-López, Ricardo Femat, Santo Banerjee, and Juan Luis Mata-Machuca (Department of Biotechnology and Bioengineering, Centro de Investigación y de Estudios Avanzados (CINVESTAV), México City, México, and others)

Chapter 2. The Multi-Domain Spectral Relaxation Method for Chaotic Systems of Ordinary Differential Equations
Sandile S. Motsa, Vusi M. Magagula, and Precious Sibanda (School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, South Africa)

Chapter 3. Encrypted Real-World Image Communication Design Using Synchronized Discrete-Time Hyper Chaotic Maps
Sonia Hammami (Engineering Sciences and Techniques Department, El Manar Preparatory Institute for Engineering Studies, University of Tunis El Manar, Tunis, Tunisia)


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