Hole Structures in Nonlocally Coupled Noisy Phase Oscillators

Details Hole Structures in Nonlocally Coupled Noisy Phase Oscillators Hole Structures in Nonlocally Coupled Noisy Phase Oscillators

2007-08-10

arxiv.org/abs/0708.1360v1

Phys. Rev. E 76, 047201 (2007)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.76.047201

We demonstrate that a system of nonlocally coupled noisy phase oscillators can collectively exhibit a hole structure, which manifests itself in the spatial phase distribution of the oscillators. The phase model is described by a nonlinear Fokker-Planck equation, which can be reduced to the complex Ginzburg-Landau equation near the Hopf bifurcation point of the uniform solution. By numerical simulations, we show that the hole structure clearly appears in the space-dependent order parameter, which corresponds to the Nozaki-Bekki hole solution of the complex Ginzburg-Landau equation.

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