Work

Hole structures in nonlocally coupled noisy phase oscillators

Year: 2007
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W1995701031
FWCI: 1.912
Cites: 35
Cited by: 8
Related to: 10