Diffusion-induced inhomogeneity in globally coupled oscillators: swing-by mechanism.
It is shown that for random initial conditions, a large population of identical and sufficiently nonisochronous Stuart-Landau oscillators coupled globally and diffusively exhibits inhomogeneity in a resonant way as the diffusive coupling is intensified, where the diffusive coupling constant is real. A category of inhomogeneous (nonsynchronized) solutions is analytically shown to exist, which is either periodic or quasiperiodic.
Department of Mathematical Sciences, Graduate School of Engineering, University of Osaka Prefecture, Sakai 599-8531, Japan.
Hiroaki
H
Daido
Kenji
K
Nakanishi