Display options
Cite
Xie J, Knobloch E, Kao HC. Twisted chimera states and multicore spiral chimera states on a two-dimensional torus. Phys Rev E Stat Nonlin Soft Matter Phys. 2015;92(4):042921doi: 10.1103/PhysRevE.92.042921.
Xie, J., Knobloch, E., & Kao, H. C. (2015). Twisted chimera states and multicore spiral chimera states on a two-dimensional torus. Physical review. E, Statistical, nonlinear, and soft matter physics, 92(4), 042921. https://doi.org/10.1103/PhysRevE.92.042921
Xie, Jianbo, et al. "Twisted chimera states and multicore spiral chimera states on a two-dimensional torus." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 92,4 (2015): 042921. doi: https://doi.org/10.1103/PhysRevE.92.042921
Xie J, Knobloch E, Kao HC. Twisted chimera states and multicore spiral chimera states on a two-dimensional torus. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042921. doi: 10.1103/PhysRevE.92.042921. Epub 2015 Oct 26. PMID: 26565318.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042921. doi: 10.1103/PhysRevE.92.042921. Epub 2015 Oct 26.

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

Physical review. E, Statistical, nonlinear, and soft matter physics

Jianbo Xie, Edgar Knobloch, Hsien-Ching Kao

Affiliations

  1. Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA.
  2. Wolfram Research Inc., Champaign, Illinois 61820, USA.

PMID: 26565318 DOI: 10.1103/PhysRevE.92.042921

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.

Publication Types