Evolution of the Spiral Waves in Excitable System

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dc.creatorRen, Ji-Rong
dc.creatorZhu, Tao
dc.creatorMo, Shu-Fan
dc.date2008-11-03
dc.date.accessioned2026-07-07T13:11:41Z
dc.date.available2026-07-07T13:11:41Z
dc.descriptionSpiral wave, whose rotation center can be regarded as a point defect, widely exists in various two dimensional excitable systems. In this paper, by making use of \emph{Duan's topological current theory}, we obtain the charge density of spiral waves and the topological inner structure of its topological charge. The evolution of spiral wave is also studied from the topological properties of a two-dimensional vector field. The spiral waves are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points of the two-dimensional vector field. Some applications of our theory are also discussed.
dc.description7 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0811.0217
dc.identifierhttp://arxiv.org/abs/0811.0217
dc.identifierCommun. Theor. Phys. 51 (2009) 621-626
dc.identifierdoi:10.1088/0253-6102/51/4/09
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229362
dc.subjectPattern Formation and Solitons
dc.subjectChaotic Dynamics
dc.titleEvolution of the Spiral Waves in Excitable System
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