Slower Speed and Stronger Coupling: Adaptive Mechanisms of Self-Organized Chaos Synchronization

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.65.067202

We show that two initially weakly coupled chaotic systems can achieve self-organized synchronization by adaptively reducing their speed and/or enhancing the coupling strength. Explicit adaptive algorithms for speed-reduction and coupling-enhancement are provided. We apply these algorithms to the self-organized synchronization of two coupled Lorenz systems. It is found that after a long-time self-organized process, the two coupled chaotic systems can achieve synchronization with almost minimum required coupling-speed ratio.

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