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Existence and linear stability of planar waves in the Oregonator model
Authors:Zhou Tian-Shou and He Xiao-Lan
Institution:Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; Department of Information Engineering, School of Economics and Management of Guandong, Guanzhou 510262, China
Abstract:In this paper, various waves in the Oregonator model are investigated in detail. The existence of planar waves (in particular, spiral waves) is rigorously proven and their linear stability is analysed. In addition, some non-planar waves in the model are also presented.
Keywords:excitable media  travelling wave  spiral wave  linear stability
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