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Chinese Physics, 2001, Vol. 10(12): 1096-1102    DOI: 10.1088/1009-1963/10/12/302
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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
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
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.
Keywords:  excitable media      solitary impulse      wavetrain  
Received:  29 March 2001      Revised:  03 August 2001      Accepted manuscript online: 
PACS:  82.60.Hc (Chemical equilibria and equilibrium constants)  
  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)  
Fund: Project supported by the National Natural Sciences Foundation of China (Grant No. 19901034)

Cite this article: 

Zhou Tian-shou (周天寿), Lü Jin-hu (吕金虎), Zhang Suo-chun (张锁春) KINETICS OF THE WAVETRAIN IN THE TWO-VARIABLE OREGONATOR MODEL 2001 Chinese Physics 10 1096

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