Chimera Ising Walls in Forced Nonlocally Coupled Oscillators

Abstract

Nonlocally coupled oscillator systems can exhibit an exotic spatiotemporal structure called chimera, where the system splits into two groups of oscillators with sharp boundaries, one of which is phase-locked and the other is phase-randomized. Two examples of the chimera states are known: the first one appears in a ring of phase oscillators, and the second one is associated with the two-dimensional rotating spiral waves. In this article, we report yet another example of the chimera state that is associated with the so-called Ising walls in one-dimensional spatially extended systems, which is exhibited by a nonlocally coupled complex Ginzburg-Landau equation with external forcing.

arXiv comment7 pages, 5 figures, to appear in Phys. Rev. E

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• Chimera states in networks of phase oscillators: the case of two small populations
• Bistable Chimera Attractors on a Triangular Network of Oscillator Populations
• Chimeras in a Network of Three Oscillator Populations with Varying Network Topology
• The changing notion of chimera states, a critical review
• The oscillating two-cluster chimera state in non-locally coupled phase oscillators
• Hole Structures in Nonlocally Coupled Noisy Phase Oscillators
• Patched patterns and emergence of chaotic interfaces in arrays of nonlocally coupled excitable systems