The monograph begins with a systematic introduction of chaos and chaos synchronization, and then extends to the methodologies and technologies in secure communication system design and implementation. The author combines theoretical frameworks with empirical studies, making the book a pratical reference for both academics and industrial engineers.

Kehui Sun, Central South University, Changsha, China

Table of content:
Preface
Chapter 1 Introduction
1.1 Linear, nonlinear and chaos
1.2 History of chaos research
1.3 Important scientists and interesting stories during the development of chaos
1.4 Definition and characteristics of chaos
1.5 Review on the research of chaotic synchronization method
1.5.1 Existing synchronization methods and its characteristics
1.5.2 Other synchronization methods and problems
1.6 Review on the study of chaotic secure communication
1.6.1 Chaotic analogy communication
1.6.2 Chaotic digital communication
1.6.3 Encryption communication based on chaotic sequence
1.7 Chaos research methods and the main research contents
Chapter 2 Chaos performances analysis approach for nonlinear system
2.1Phase trajectory (phase) graph analysis method
2.2 Power spectrum analysis method
2.3 Poincaré section method
2.4 Lyapunov characteristics exponent method
2.4.1 Definition of Lyapunov characteristic exponent
2.4.2 Lyapunov characteristics spectrum
2.4.3 Physical meaning of Lyapunov characteristics spectrum
2.4.4 Condition Lyapunov characteristics exponent
2.5 Fractal dimension analysis method
2.6 0-1 test method
2.6.1 0-1 test algorithm
2.6.2 Modified 0-1 test algorithm
2.6.3 Application of 0-1 test method
2.7 Frequency divider sampling method?????
2.8 Pseudo phase space method
2.9 Complexity measure method
2.9.1 Spectral entropy complexity algorithm
2.9.2 C0 complexity algorithm
Chapter 3 Typical chaotic system
3.1 Discrete chaotic system
3.1.1 Logistic map
3.1.2 Tent map
3.1.3 Hénon map
3.1.4 TD-ERCS map
3.2 Continuous chaotic system
3.2.1 Duffing oscillator
3.2.2 van der Pol oscillator
3.2.3 Lorenz chaotic system
3.2.4 Rössler chaotic system
3.2.5 Chua's circuit system
3.2.6 Chen chaotic system
3.2.7 Lü chaotic system
3.2.8 Unified chaotic system
3.2.9 Simplified Lorenz chaotic system
3.2.10 Proposed standard for new chaotic system
3.3 Hyperchaotic system
3.3.1 Rössler hyperchaotic system
3.3.2 Chen hyperchaotic system
Chapter 4 Synchronization principle and method of chaotic system
4.1 Definition of chaos synchronization
4.2 Performance index of chaos synchronization system
4.3 Principle and performance of feedback control synchronization
4.3.1 Multi-variables driving feedback control synchronization between continuous chaotic system
4.3.2 Linear and nonlinear feedback control synchronization for discrete chaotic system
4.4 Adaptive parameter synchronization control based on Pecora-Carroll synchronization criterion
4.4.1 Principle of adaptive parameter synchronization
4.4.2 Choice of control law and control parameter
4.4.3 Determine of the control constant boundary and scope
4.4.4 Synchronization simulation and results discussion
4.5 Adaptive synchronization based on Lyapunov stability theory
4.5.1 Adaptive synchronization control for chaos system with known parameter
4.5.2 Adaptive synchronization control for chaos system with unknown parameter
4.6 Intermittent feedback synchronization
4.6.1 Intermittent feedback synchronization control between different chaos systems
4.6.2 Synchronization simulation and performance analysis
4.7 Chaos synchronization control based on states observer
4.7.1 Design principle of states observer
4.7.2 Design of states observer for unified chaotic system
4.7.3 Simulation and results discussion
4.8 Chaos observer synchronization
4.8.1 Design principle of chaos observer
4.8.2 Design of chaos observer for unified chaotic system
4.8.3 Synchronization simulation and performance analysis
4.9 Projective synchronization
4.9.1 Principle and simulation of scale projective synchronization
4.9.2 Principle and simulation of function projective synchronization
4.9.3 Principle and simulation of adaptive function projective synchronization
4.10 Problems and hot topic about chaos synchronization
...