中国物理B ›› 2002, Vol. 11 ›› Issue (12): 1234-1239.doi: 10.1088/1009-1963/11/12/303

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Existence and linear stability of planar waves in the Oregonator model

何小兰1, 周天寿2   

  1. (1)Department of Information Engineering, School of Economics and Management of Guandong, Guanzhou 510262, China; (2)Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
  • 收稿日期:2002-06-28 修回日期:2002-07-31 出版日期:2002-12-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Key Basic Research Special Fund (Grant No G1998020209).

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   

  1. 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
  • Received:2002-06-28 Revised:2002-07-31 Online:2002-12-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Key Basic Research Special Fund (Grant No G1998020209).

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摘要： 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.

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.

Key words: excitable media, travelling wave, spiral wave, linear stability

中图分类号:  (Chemical equilibria and equilibrium constants)

  • 82.60.Hc
82.40.Ck (Pattern formation in reactions with diffusion, flow and heat transfer)