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arXiv · 0811.0217

Evolution of the Spiral Waves in Excitable System

Ji-Rong Ren·Tao Zhu·Shu-Fan Mo
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Abstract

Spiral 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.

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Ji-Rong Ren, Tao Zhu, Shu-Fan Mo. 2008-11-03. Evolution of the Spiral Waves in Excitable System. https://doi.org/10.1088/0253-6102%2F51%2F4%2F09

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