Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems | Zendy

Yoshiki Kuramoto | Zendy; Shinichiro Shima | Zendy

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Rotating Spirals without Phase Singularity in Reaction-Diffusion Systems

Author(s) -

Yoshiki Kuramoto,

Shinichiro Shima

Publication year - 2003

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.150.115

Subject(s) - singularity , spiral (railway) , diffusion , codimension , phase (matter) , reaction–diffusion system , physics , statistical physics , coupling (piping) , mathematics , classical mechanics , mathematical analysis , thermodynamics , materials science , quantum mechanics , metallurgy

Rotating spiral waves without phase singularity are found to arise in acertain class of three-component reaction-diffusion systems of biologicalrelevance. It is argued that this phenomenon is universal when some chemicalcomponents involved are diffusion-free. Some more detailed mathematical andnumerical analyses are carried out on a complex Ginzburg-Landau equation withnon-local coupling to which the original system is reduced close to acodimension-two parameter set.Comment: 11 pages, 5 figure

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