579 citations · 579 across the 2 of their papers we have counts for
2 papers
nlin.PS2003
On nonlocally coupled complex Ginzburg-Landau equation
Dan Tanaka, Yoshiki Kuramoto
A Ginzburg-Landau type equation with nonlocal coupling is derived systematically as a reduced form of a universal class of reaction-diffusion systems near the Hopf bifurcation poin…
cond-mat.stat-mech2002★ 579 cited
Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
Yoshiki Kuramoto, Dorjsuren Battogtokh
The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-cont…