噪声对两个单向耦合的复杂动力网络外同步的影响。

Effects of noise on the outer synchronization of two unidirectionally coupled complex dynamical networks.

机构信息

School of Sciences, China University of Mining and Technology, Xuzhou 221008, People's Republic of China.

出版信息

Chaos. 2012 Jun;22(2):023131. doi: 10.1063/1.4721997.

DOI:10.1063/1.4721997

Abstract

We study the effect of noise on the outer synchronization between two unidirectionally coupled complex networks and find analytically that outer synchronization could be achieved via white-noise-based coupling. It is also demonstrated that, if two networks have both conventional linear coupling and white-noise-based coupling, the critical deterministic coupling strength between two complex networks for synchronization transition decreases with an increase in the intensity of noise. We provide numerical results to illustrate the feasibility and effectiveness of the theoretical results.

摘要

我们研究了噪声对两个单向耦合的复杂网络之间外部同步的影响，通过分析发现，通过基于白噪声的耦合可以实现外部同步。还证明了，如果两个网络既有传统的线性耦合又有基于白噪声的耦合，那么对于同步转变，两个复杂网络之间的临界确定性耦合强度随着噪声强度的增加而减小。我们提供了数值结果来验证理论结果的可行性和有效性。