Slower Speed and Stronger Coupling: Adaptive Mechanisms of Self-Organized Chaos Synchronization
arXiv:cond-mat/0109395 · doi:10.1103/PhysRevE.65.067202
Abstract
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.
4 pages, 5 figures