Hole structures in nonlocally coupled noisy phase oscillators.
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.
Kawamura
Yoji
Y
Department of Physics, Graduate School of Sciences, Kyoto University, Kyoto 606-8502, Japan. kawamura@ton.scphys.kyoto-u.ac.jp