Controlling synchrony by delay coupling in networks: From in-phase to splay and cluster states

被引：105

作者：

Choe, Chol-Ung ^{[1
,2
]}

Dahms, Thomas ^{[1
]}

Hoevel, Philipp ^{[1
]}

Schoell, Eckehard ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany

[2] Univ Sci, Dept Phys, Pyongyang, North Korea

来源：

PHYSICAL REVIEW E | 2010年 / 81卷 / 02期

关键词：

STABILITY; FEEDBACK;

D O I：

10.1103/PhysRevE.81.025205

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 study synchronization in delay-coupled oscillator networks using a master stability function approach. Within a generic model of Stuart-Landau oscillators (normal form of supercritical or subcritical Hopf bifurcation), we derive analytical stability conditions and demonstrate that by tuning the coupling phase one can easily control the stability of synchronous periodic states. We propose the coupling phase as a crucial control parameter to switch between in-phase synchronization or desynchronization for general network topologies or between in-phase, cluster, or splay states in unidirectional rings. Our results are robust even for slightly nonidentical elements of the network.

引用

页数：4

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