Liu Shenquan, Lu Qishao, Huang Kelei. The Motion of Organization Center of Scroll Waves in Excitable Media with Single Diffusion[J]. Applied Mathematics and Mechanics, 1999, 20(4): 398-404.
Citation: Liu Shenquan, Lu Qishao, Huang Kelei. The Motion of Organization Center of Scroll Waves in Excitable Media with Single Diffusion[J]. Applied Mathematics and Mechanics, 1999, 20(4): 398-404.

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

  • Received Date: 1996-12-16
  • Rev Recd Date: 1997-03-25
  • Publish Date: 1999-04-15
  • 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.
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  • [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.
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