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EXISTENCE OF A ROTATING WAVE PATTERN IN A DISKFOR A WAVE FRONT INTERACTION MODEL

By Jong-Shenq Guo, Hirokazu Ninomiya and Chin-Chin Wu

Abstract

We study the rotating wave patterns in an excitable medium in a disk. This wave pattern is rotating along the given disk boundary with a constant angular speed. To study this pattern we use the wave front interaction model proposed by Zykov in 2007. This model is derived from the FitzHugh-Nagumo equation and it can be described by two systems of ordinary differential equations for wave front and wave back respectively. Using a delicate shooting argument with the help of the comparison principle, we derive the existence and uniqueness of rotating wave patterns for any admissible angular speed with convex front in a given disk

Topics: Rotating wave pattern, front, back, angular speed
Year: 2014
DOI identifier: 10.3934/cpaa.2013.12.1049
OAI identifier: oai:ir.lib.nchu.edu.tw:11455/85057
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