Loss of synchronization in coupled oscillators with ubiquitous local stability

被引：13

作者：

Corron, NJ ^{[1
]}

机构：

[1] USA, Aviat & Missile Command, AMSAM RD WS ST, Redstone Arsenal, AL 35898 USA

来源：

PHYSICAL REVIEW E | 2001年 / 63卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.63.055203

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The issue of using instantaneous eigenvalues as indicators of synchronization quality in coupled chaotic systems is examined. Previously, it has been assumed that, if the eigenvalues of the linearized synchronization dynamics have negative real parts everywhere on the attractor, the synchronized state is stable. In this Rapid Communication, two counterexamples are presented that show this assumption is invalid.

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