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Physics - Complexity | Dynamical System Synchronization

Dynamical System Synchronization

Luo, Albert C. J.

2013, VIII, 239 p. 50 illus., 36 illus. in color.

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  • Presents novel concepts and methodologies for dynamical system synchronization
  • Extends beyond the Lyapunov theory for dynamical system synchronization
  • Introduces companion and synchronization of discrete dynamical systems
  • Includes local singularity theory for discontinuous dynamical systems
  • Covers the invariant domains of synchronization
  • Features 50 illustrations

Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques. 

This book also: 

Presents novel concepts and methods for dynamical system synchronization

Extends beyond the Lyapunov theory for dynamical system synchronization

Introduces companion and synchronization of discrete dynamical systems

Includes local singularity theory for discontinuous dynamical systems

Covers the invariant domains of synchronization

Features more than 75 illustrations

Dynamical System Synchronization is an ideal book for those interested in better understanding new concepts and methodology for dynamical system synchronization, local singularity theory for discontinuous dynamical systems, distinct dynamical system synchronization, and invariant domains of synchronization.

Content Level » Research

Keywords » Discontinuous dynamical systems - Distinct systems synchronization - Dynamical systems synchronization - Full synchronizations - Partial Synchronization - Synchronization invariants

Related subjects » Complexity - Dynamical Systems & Differential Equations

Table of contents 

Introduction.- Discontinuity and Local Singularity.- Single Constraint Synchronization.- Multiple Constraint Synchronization.- Function Synchronization.- Discrete Systems Synchronization.

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