title: Twisted chimera states and multicore spiral chimera states on a two-dimensional torus.
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.
authors.affiliation: Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA.
authors.forename: Jianbo
authors.initials: J
authors.lastname: Xie
authors.affiliation: Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA.
authors.forename: Edgar
authors.initials: E
authors.lastname: Knobloch
authors.affiliation: Wolfram Research Inc., Champaign, Illinois 61820, USA.
authors.forename: Hsien-Ching
authors.initials: HC
authors.lastname: Kao