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相互耦合振子和复杂网络中的广义同步

Generalized synchronization in mutually coupled oscillators and complex networks.

作者信息

Moskalenko Olga I, Koronovskii Alexey A, Hramov Alexander E, Boccaletti Stefano

机构信息

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

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Sep;86(3 Pt 2):036216. doi: 10.1103/PhysRevE.86.036216. Epub 2012 Sep 27.

Abstract

We introduce a concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems featuring complex topologies in their connections. The onset of the synchronous regime is confirmed by the dependence of the system's Lyapunov exponents on the coupling parameter. The presence of a generalized synchronization regime is verified by means of the nearest neighbor method.

摘要

我们引入了广义同步的概念,它能够涵盖相互耦合系统以及在连接中具有复杂拓扑结构的网络系统的集体同步行为设置。通过系统的李雅普诺夫指数对耦合参数的依赖性来确认同步状态的开始。借助最近邻方法验证广义同步状态的存在。

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