在激发介质中单扩散回卷波组织中心的运动

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基金项目: 国家自然科学基金资助项目(19872010);国家教育部博士点基金,航空科学基金资助项目(98B51125)

The Motion of Organization Center of Scroll Waves in Excitable Media with Single Diffusion

Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China

摘要: 应用奇异摄动方法,讨论了在单扩散型激发介质中无扭曲的三维回卷波组织中心的运动规律.确定了无扭曲的组织中心的曲率关系和线性律,这些结果具有明显的物理意义,而且与实验符合得很好.
- 单扩散 /
- 回卷波 /
- 组织中心 /
- 涡环 /
- 激发介质
Abstract: The motion of organization center of three-dimensional untwisted scroll waves in excitable media with single diffusion is studied by singular perturbation method in this paper.The relation of curvature and the linear law are derived for untwisted organization center.These results have explicit physical meaning and are in good agreement with experiments.
- single diffusion /
- scroll waves /
- organization center /
- vortex ring /
- excitable media

[1]	Winfree A T,Jahnke W.Three-dimensional scroll ring dynamics in the Belousov-Zabotinsky reagent and in the 2-variable Oregonator model[J].J Phys Chem,1989,93:2823~2832.
[2]	Tyson J J,Keener J P.The dynamics of scroll waves in excitable media[J].SIAM Review,1992,34:1~39.
[3]	Tyson J J,Keener J P.Singular perturbation theory of traveling waves in excitable media[J].Phys D,1988,32:327~361.
[4]	Welsh B J,Gomatam J,Burgess A E.Three-dimensional chemical waves in the Belousov-Zhabotinsky reagent[J].Nature,1983,(304):611~613.
[5]	Winfree A T,Stable particle-like solutions to nonlinear waves equations of three-dimensional excitable media[J].SIAM Review,1990,32:1~53.
[6]	Keener J P.The dynamics of three-dimensional scroll waves in excitable media[J].Phys D,1988,31(2):269~276.
[7]	Keener J P.Knotted scroll waves filaments in excitable media[J].Phys D,1989,34:378~390.
[8]	Jahnke W,Henze C,Winfree A T.Chemical vortex dynamics in three-dimensional excitable media[J]．Nature,1988,(336):662~665.
[9]	Nandapurkar P J,Winfree A T.Dynamical stability of untwisted scroll rings in excitable media[J].Phys D,1989,35:277~288.