Synchronization regimes in systems with multiple time-delays

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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11 pages including 4 figures, submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevE.70.067202

We present the first report on chaos synchronization between two unidirectionally linearly and nonlinearly coupled systems with multiple time-delays and using the Razumikhin-Lyapunov approach find the existence and stability conditions for different synchronization regimes.The approach is tested on the famous nonlinear models-Ikeda, Mackey-Glass, and Lang-Kobayashi systems.

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