Edgar Knobloch

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  Chimera states in Nonlocal Phase-coupled Oscillators
  Edgar Knobloch
  Chimera states consisting of domains of coherently and incoherently oscillating nonlocally-coupled phase oscillators on a ring are studied. Systems of both identical and heterogeneous oscillators are considered. In the former several classes of chimera states have been found: (a) stationary multi-cluster states with evenly or unevenly distributed coherent clusters, and (b) traveling chimera states. Single coherent clusters traveling with a constant speed across the system are also found. In the presence of spatial heterogeneity in the oscillator frequencies these traveling states undergo a variety of pinning and depinning transitions. In this talk I will describe these results, provide a self-consistent continuum description of many of these states, and will use this description to study transitions between them. This is joint work with J Xie and H-C Kao.