Chimera Ising Walls in Forced Nonlocally Coupled Oscillators

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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7 pages, 5 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.75.056204

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.

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