双向耦合混沌振荡器中通向广义同步的间歇路径。

Intermittent route to generalized synchronization in bidirectionally coupled chaotic oscillators.

作者信息

Koronovskii Alexey A, Moskalenko Olga I, Pivovarov Anatoliy A, Evstifeev Evgeniy V

机构信息

Faculty of Nonlinear Processes, Saratov State University, 83 Astrakhanskaya Street, 410012 Saratov, Russia.

出版信息

Chaos. 2020 Aug;30(8):083133. doi: 10.1063/5.0007156.

DOI:10.1063/5.0007156

PMID:32872830

Abstract

The type of transition from asynchronous behavior to the generalized synchronization regime in mutually coupled chaotic oscillators has been studied. To separate the epochs of the synchronous and asynchronous motion in time series of mutually coupled chaotic oscillators, a method based on the local Lyapunov exponent calculation has been proposed. The efficiency of the method has been testified using the examples of unidirectionally coupled dynamical systems for which the type of transition is well known. The transition to generalized synchronization regime in mutually coupled systems has been shown to be an on-off intermittency as well as in the case of the unidirectional coupling.

摘要

对相互耦合的混沌振荡器中从异步行为到广义同步状态的转变类型进行了研究。为了在相互耦合的混沌振荡器的时间序列中分离同步和异步运动的时期，提出了一种基于局部李雅普诺夫指数计算的方法。使用单向耦合动力系统的例子验证了该方法的有效性，对于单向耦合动力系统，其转变类型是已知的。结果表明，相互耦合系统中向广义同步状态的转变与单向耦合情况一样，也是一种开-关间歇性。