Synchronization patterns in Stuart-Landau networks: a reduced system approach

被引：10

作者：

Tumash, Liudmila ^{[1
]}

Panteley, Elena ^{[2
]}

Zakharova, Anna ^{[1
]}

Schoell, Eckehard ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Theoret Phys, Hardenbergstr 36, D-10623 Berlin, Germany

[2] CNRS, Lab Signaux & Syst, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France

来源：

EUROPEAN PHYSICAL JOURNAL B | 2019年 / 92卷 / 05期

关键词：

OSCILLATIONS; BEHAVIOR;

D O I：

10.1140/epjb/e2019-90483-5

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We study networks with coupled phase and amplitude dynamics. In particular, we investigate a ring of Stuart-Landau oscillators. For symmetry-conserving coupling we observe cluster synchronization. We show that the dimension of the dynamical system can be substantially reduced by projecting the system onto the subspace corresponding to the unstable eigenvalues of the linear part of the network dynamics.

引用

页数：10

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