Slower speed and stronger coupling: adaptive mechanisms of chaos synchronization.
We show that two initially weakly coupled chaotic systems can achieve 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 synchronization of two coupled Lorenz systems. It is found that after a long-time adaptive process, the two coupled chaotic systems can achieve synchronization with almost the minimum required coupling-speed ratio.
Wang
Xiao Fan
XF
Department of Automation, Shanghai Jiaotong University, Shanghai 200030, People's Republic of China. xfwang@ieee.org