具有横向耦合的双环网络中的非线性波

Procedia IUTAM Pub Date : 2017-01-01 DOI:10.1016/j.piutam.2017.08.030

Dongyuan Yu , Nan Ding , Jing Zhou , Xu Xu

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引用次数: 0

摘要

本文考虑了一种通过横向链路耦合的双环网络。采用分治算法对算法的稳定性和Hopf分岔值进行分析。利用中心流形定理和范式理论研究了同步波和反射波等非线性波。结果表明，适当设置横向耦合可以保证复杂动力学从一个环备份到另一个环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Nonlinear Waves in a Two-ring Network with a Transverse Coupling

A two-ring network coupling by a transverse link is considered in this paper. Divide and conquer algorithm is used to analyze the stability and Hopf bifurcation values. Nonlinear waves (such as synchronization and reflection waves) are studied using the center manifold theorem and normal form theory. It is shown that appropriate settings of transverse coupling can guarantee the backup of the complicated dynamics from one ring to the other.

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Procedia IUTAM

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