Existence and linear stability of planar waves in the Oregonator model
Zhou Tian-Shou (周天寿)a, He Xiao-Lan (何小兰)b
a Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; b 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.
Received: 28 June 2002
Revised: 31 July 2002
Accepted manuscript online:
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