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arXiv · 0708.1360

Hole Structures in Nonlocally Coupled Noisy Phase Oscillators

Yoji Kawamura
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Abstract

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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Yoji Kawamura. 2007-08-10. Hole Structures in Nonlocally Coupled Noisy Phase Oscillators. https://doi.org/10.1103/physreve.76.047201

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