Slower speed and stronger coupling: Adaptive mechanisms of chaos synchronization

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsPublished 12 June 2002Open access

Xiao Fan Wang

DOI10.1103/physreve.65.067202

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Citations10

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TL;DR

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.

Abstract

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.

Keywords

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