Chapter 1: Generalized Synchronization in an Array of Nonlinear Dynamic Systems with Applications to Chaotic CNN

The following sections are included:

• Introduction

• Basic Concepts and Definitions

  • GS of a Discrete Array of Difference Systems

  • GS of a Continuous Array of Differential Systems

  • PGS of Non-autonomous Bidirectional CDADS

  • PGS of Non-autonomous Bidirectional CCADS

• GS Theorems for Discrete and Continuous Arrays of Dynamic Systems

  • GS Theorem for Discrete Arrays

  • GS Theorem for Bidirectional Discrete Arrays

  • GS Theorem for Non-autonomous Discrete Arrays

  • GS Theorem for Non-autonomous Bidirectional Discrete Arrays

  • GS Theorem for an Array of Differential Systems

  • GS Theorem for a Bidirectional Array of Differential Systems

  • GS Theorem for a Non-autonomous Array of Differential Systems

  • GS Theorem for a Non-autonomous Bidirectional Array of Differential Systems

  • PGC Theorem for Non-autonomous Bidirectional CDADS

  • PGS Theorem for Non-autonomous Bidirectional CCADS

• Application of GS Theorems

  • Application of GS Theorem to CDADS

  • Application of GS Theorem to Non-autonomous CDADS

  • Application of GS Theorem to Non-autonomous Bidirectional CDADS

  • Application of GS Theorem to Bidirectional CCADS 49

  • Application of GS Theorem to Non-autonomous Bidirectional CCADS

  • Application of PGS Theorem to Non-autonomous Bidirectional CDADS

  • Application of PGS Theorem to Non-autonomous Bidirectional CCADS

• Conclusions