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
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页码：251 / 254
页数：3
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