The instability of chaotic synchronization in coupled Lorenz systems: from the Hopf to the Co-dimension two bifurcation

被引：0

作者：

J. Yang

M. Zhang

机构：

[1] School of Science,

[2] Beijing University of Posts and Telecomunications,undefined

[3] Center for Advanced Study,undefined

[4] Tsinghua University,undefined

来源：

The European Physical Journal B - Condensed Matter and Complex Systems | 2005年 / 47卷

关键词：

Spectroscopy; Neural Network; Phase Transition; State Physics; Complex System;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the Hopf bifurcation of the synchronous chaos in coupled Lorenz oscillators. We find that the system undergoes a phase transition along the Hopf instability of the synchronous chaos. The phase transition makes the traveling wave component with the phase difference φ(i)-φ(i+1)=2π/N between adjacent sites unstable. The phase transition also plays a role to relate the Hopf bifurcation with the co-dimension two bifurcation of the synchronous chaos.

引用

页码：251 / 254

页数：3

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