Hole Structures in Nonlocally Coupled Noisy Phase Oscillators

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dc.creatorKawamura, Yoji
dc.date2007-08-10
dc.date.accessioned2026-07-07T08:33:27Z
dc.date.available2026-07-07T08:33:27Z
dc.descriptionWe 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.
dc.description4 pages, 4 figures, to appear in Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/0708.1360
dc.identifierhttp://arxiv.org/abs/0708.1360
dc.identifierPhys. Rev. E 76, 047201 (2007)
dc.identifierdoi:10.1103/PhysRevE.76.047201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139135
dc.subjectPattern Formation and Solitons
dc.titleHole Structures in Nonlocally Coupled Noisy Phase Oscillators
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