Twisted chimera states and multicore spiral chimera states on a two-dimensional torus

被引：54
|
作者：
Xie, Jianbo [1 ]
Knobloch, Edgar [1 ]
Kao, Hsien-Ching [2 ]
机构：
[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
[2] Wolfram Res Inc, Champaign, IL 61820 USA
来源：
PHYSICAL REVIEW E | 2015年 / 92卷 / 04期
基金：
美国国家科学基金会;
关键词：
OSCILLATORS; INCOHERENCE; COHERENCE; NETWORKS;
D O I：
10.1103/PhysRevE.92.042921
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：
Chimera states consisting of domains of coherently and incoherently oscillating oscillators in a two-dimensional periodic array of nonlocally coupled phase oscillators are studied. In addition to the one-dimensional chimera states familiar from one spatial dimension, two-dimensional structures termed twisted chimera states and spiral wave chimera states are identified in simulations. The properties of many of these states, including stability, are determined using an evolution equation for a complex order parameter and are found to be in agreement with the simulations.
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页数：16
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