基于公共延迟时间调制的混沌振荡器同步

Synchronization of chaotic oscillators due to common delay time modulation.

作者信息

Kye Won-Ho, Choi Muhan, Kurdoglyan M S, Kim Chil-Min, Park Young-Jai

机构信息

National Creative Research Initiative Center for Controlling Optical Chaos, Pai-Chai University, Daejeon 302-735, Korea.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Oct;70(4 Pt 2):046211. doi: 10.1103/PhysRevE.70.046211. Epub 2004 Oct 22.

DOI:10.1103/PhysRevE.70.046211

PMID:15600499

Abstract

We have found a synchronization behavior between two identical chaotic systems when their delay times are modulated by a common irregular signal. This phenomenon is demonstrated both in two identical chaotic maps whose delay times are driven by a common chaotic or random signal and in two identical chaotic oscillators whose delay times are driven by a signal of another chaotic oscillator. We analyze the phenomenon by using the Lyapunov exponents and discuss it in relation to generalized synchronization.

摘要

我们发现，当两个相同的混沌系统的延迟时间由一个共同的不规则信号调制时，它们之间会出现同步行为。这种现象在两个相同的混沌映射中得到了证明，其延迟时间由一个共同的混沌或随机信号驱动；同时也在两个相同的混沌振荡器中得到了证明，其延迟时间由另一个混沌振荡器的信号驱动。我们使用李雅普诺夫指数对该现象进行分析，并结合广义同步对其进行讨论。