中国物理B ›› 2001, Vol. 10 ›› Issue (12): 1096-1102.doi: 10.1088/1009-1963/10/12/302

• GENERAL • 上一篇    下一篇

KINETICS OF THE WAVETRAIN IN THE TWO-VARIABLE OREGONATOR MODEL

周天寿1, 吕金虎2, 张锁春2   

  1. (1)Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; (2)Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2001-03-29 修回日期:2001-08-03 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Sciences Foundation of China (Grant No. 19901034)

KINETICS OF THE WAVETRAIN IN THE TWO-VARIABLE OREGONATOR MODEL

Zhou Tian-shou (周天寿)a, Lü Jin-hu (吕金虎)b, Zhang Suo-chun (张锁春)b   

  1. a Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; b Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2001-03-29 Revised:2001-08-03 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Sciences Foundation of China (Grant No. 19901034)

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摘要： In this paper we first discuss the asymptotic behaviours of solitary impulses in reaction-diffusion equations of Oregonator under the equal, single and double diffusion conditions, respectively. Then we obtain the asymptotic equations of motion of wavetrains for this model by a superposition of solitary impulses, and finally we analyse the stability of wavetrains.

Abstract: In this paper we first discuss the asymptotic behaviours of solitary impulses in reaction-diffusion equations of Oregonator under the equal, single and double diffusion conditions, respectively. Then we obtain the asymptotic equations of motion of wavetrains for this model by a superposition of solitary impulses, and finally we analyse the stability of wavetrains.

Key words: excitable media, solitary impulse, wavetrain

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

  • 82.60.Hc
03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 82.40.Ck (Pattern formation in reactions with diffusion, flow and heat transfer)