Designing coupling that guarantees synchronization between identical chaotic systems

Abstract

We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The criteria can also be used to design couplings that lead to stable synchronous motion. Analytical results from a dynamical system are presented.

4 pages, RevTex, 1 figure, submitted for publication

References in corpus (1)

• Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds

Cited by in corpus (9)

• Cluster and group synchronization in delay-coupled networks
• A simple adaptive-feedback controller for high-quality chaos synchronization
• Stability of Synchronized Chaos in Coupled Dynamical Systems
• Synchronization Based Approach for Estimating All Model Parameters of Chaotic Systems
• General Stability Analysis of Synchronized Dynamics in Coupled Systems
• Synchronization of coupled limit cycles
• Generalized Turing Patterns and Their Selective Realization in Spatiotemporal Systems
• Critical Lattice Size Limit for Synchronized Chaotic State in 1-D and 2-D Diffusively Coupled Map Lattices
• Synchronization of a class of master-slave non-autonomous chaotic systems with parameter mismatch via sinusoidal feedback control