Chaos in Complex Dynamical System: Theory and Application / by Shutang Liu, Ping Liu, Cuimei Jiang, Changan Liu.

Format:

Book

Author/Creator:

Liu, Shutang.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

System theory.

Automatic control.

Complex Systems.

Control and Systems Theory.

Local Subjects:

Complex Systems.

Control and Systems Theory.

Physical Description:

1 online resource (525 pages)

Edition:

1st ed. 2026.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2026.

Summary:

This book presents the latest international research achievements in complex chaotic systems, establishing itself as an reference with high value in nonlinear dynamics and chaos theory. The book systematically explores dynamical behaviors of complex chaotic systems through control methods and engineering technologies, with particular emphasis on chaos synchronization and its revolutionary applications in secure communication. It introduces chaos synchronization including anti-synchronization, projective synchronization, hybrid projective synchronization, and various advanced synchronization techniques for both integer-order and fractional-order complex chaotic systems. Furthermore, the work demonstrates pioneering applications of chaotic systems and synchronization technologies in the field of secure communication. This publication stands out through its comprehensive pedagogical features, which include detailed mathematical frameworks and illustrative case studies. The content is strategically organized to guide readers progressively from fundamental concepts in Chapter 1, through various synchronization types of integer-order systems in Chapters 2-12, followed by in-depth analysis of fractional-order systems in Chapters 13-18, and culminating with practical encryption applications in the final chapters. The principal merit of this work resides in its distinctive integration of theoretical rigor and practical applicability, providing readers with both foundational comprehension and executable methodologies for complex system analysis. It serves not only as an essential reference resource for secure communication but also establishes a solid theoretical foundation and offers innovative methodological pathways for researchers exploring complex systems.

Contents:

Chaos in Complex Dynamical System: Theory and Application

Preface

Contents

1. Introduction and Preliminary Knowledge

2. Anti-synchronization of Complex Chaotic Systems

3. Observe-Based Complete Synchronization of Chaotic Complex Systems

4. Robust Adaptive Modified Projective Synchronization of Chaotic Complex Systems with Disturbances

5. Adaptive Modified Function Projective Synchronization of Chaotic Complex Systems

6. Complex Modified Projective Synchronization and Parameters Identification for Uncertain Chaotic Complex Systems

7. Complex Function Projective Synchronization of Complex Chaotic System

8. The Characteristics and Synchronization of Time-Delay Complex Chaotic System

9. Adaptive Complex Modified Projective Synchronization and Complex Modified Hybrid Projective Synchronization of Complex Chaotic Systems

10. Generalized Combination Complex Synchronization of New Hyperchaotic Complex Systems

11. Synchronization and Anti-synchronization of N-Coupled Complex Chaotic Systems with Ring Connection

12. Robust Finite-Time Stabilization of Unified Chaotic Complex System with Certain and Uncertain Parameters

13. Anti-synchronization of Fractional-Order Chaotic Complex Systems

14. Complex Modified Projective Synchronization of Fractional-Order Chaotic Complex Systems

15. Modified Generalized Projective Synchronization of Fractional-Order Chaotic Systems

16. Combination Complex Synchronization of Fractional-Order Chaotic Complex Systems

17. Generalized Combination Complex Synchronization for the Fractional-Order Chaotic Complex Systems

18. Synchronization of N-Coupled Fractional-Order Complex Chaotic Systems with Ring Connection

19. A Novel Hybrid Color Image Encryption Algorithm Using Two Complex Chaotic Systems.

20. Image Encryption Based on Hybrid Projective Synchronization of Chaotic Complex Systems

References.

Notes:

Print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

9789819577620

OCLC:

1611788499