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nlin.PS2003★ 337 cited
Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
Shin-ichiro Shima, Yoshiki Kuramoto
Rotating spiral waves with a central core composed of phase-randomized oscillators can arise in reaction-diffusion systems if some of the chemical components involved are diffusion…
nlin.PS2003★ 64 cited
Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems
Yoshiki Kuramoto, Shin-ichiro Shima
Rotating spiral waves without phase singularity are found to arise in a certain class of three-component reaction-diffusion systems of biological relevance. It is argued that this…
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…