Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems

Details Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems

2003-04-13

arxiv.org/abs/nlin/0304021v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 5 figures

Scientific paper

10.1143/PTPS.150.115

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 phenomenon is universal when some chemical components involved are diffusion-free. Some more detailed mathematical and numerical analyses are carried out on a complex Ginzburg-Landau equation with non-local coupling to which the original system is reduced close to a codimension-two parameter set.

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