Synchronization of time-delay systems

被引：29
|
作者：
Bunner, MJ [1 ]
Just, W [1 ]
机构：
[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
来源：
PHYSICAL REVIEW E | 1998年 / 58卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.58.R4072
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：
We present the linear stability analysis of synchronized states in coupled time-delay systems. There exists a synchronization threshold, for which we derive upper bounds, which does not depend on the delay time. We prove that at least for scalar time-delay systems, synchronization is achieved by transmitting a single scalar signal, even if the synchronized solution is given by a high-dimensional chaotic state with a large number of positive Lyapunov exponents. The analytical results are compared with numerical simulations of two coupled Mackey-Glass equations. [S1063-651X(98)51210-X].
引用
收藏
页码：R4072 / R4075
页数：4
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