title: Multicluster and traveling chimera states in nonlocal phase-coupled oscillators.
abstract: Chimera states consisting of domains of coherently and incoherently oscillating identical oscillators with nonlocal coupling are studied. These states usually coexist with the fully synchronized state and have a small basin of attraction. We propose a nonlocal phase-coupled model in which chimera states develop from random initial conditions. Several classes of chimera states have been found: (a) stationary multicluster states with evenly distributed coherent clusters, (b) stationary multicluster states with unevenly distributed clusters, and (c) a single cluster state traveling with a constant speed across the system. Traveling coherent states are also identified. A self-consistent continuum description of these states is provided and their stability properties analyzed through a combination of linear stability analysis and numerical simulation.
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
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical