Phys. Rev. E 92, 042921 (2015) - Twisted chimera states and multicore spiral chimera states on a two-dimensional torus

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

Jianbo Xie, Edgar Knobloch, and Hsien-Ching Kao

Phys. Rev. E 92, 042921 – Published 26 October 2015

Abstract

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.

Received 12 May 2015
Revised 16 August 2015

DOI:https://doi.org/10.1103/PhysRevE.92.042921

©2015 American Physical Society

Authors & Affiliations

Jianbo Xie^* and Edgar Knobloch^†

Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA

Hsien-Ching Kao^‡

Wolfram Research Inc., Champaign, Illinois 61820, USA

^*swordwave@berkeley.edu
^†knobloch@berkeley.edu
^‡hkao@wolfram.com

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Issue

Vol. 92, Iss. 4 — October 2015

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