Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems
Pattern Formation and Solitons
2009-11-10 v1 Chaotic Dynamics
Abstract
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.
Cite
@article{arxiv.nlin/0304021,
title = {Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems},
author = {Yoshiki Kuramoto and Shin-ichiro Shima},
journal= {arXiv preprint arXiv:nlin/0304021},
year = {2009}
}
Comments
11 pages, 5 figures