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- W2080511068 abstract "gating the dependence of wave speed on system parameters and the dispersive relation in some excitable media (EM) through numerical researches. Because the authors of those papers did not know the explicit representation of the wave speed and also the explicit dispersive relation, what they did was only to carry out numerical studies of the corresponding partial differential equation by adopting different numerical methods and taking into account the assumed necessary factors. Therefore, the results obtained were approximate ones and showed some differences between themselves. [7,8] In this paper, we give the explicit representation of the planar wave speed and the dispersive relation in general EM. In particular, we give the formulas of the corresponding wave speeds of a few typical EM, such as various FitzHungh-Nagmo models [9] , Tyson model [10] and Ginzburg-Landau model. [11] However, in order to obtain these formulas, we make an assumption that a slow variable does not change considerably so that we may regard it a constant within the thin boundary layer. According to the nature of EM, this assumption is reasonable. Obtaining the explicit representation of wave speed is based on the fact: under the translational invariance, we can transform the problem of seeking the planar wave speed in some typical EM into solving the algbraic equation in the following form:" @default.
- W2080511068 created "2016-06-24" @default.
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- W2080511068 date "2000-03-01" @default.
- W2080511068 modified "2023-09-26" @default.
- W2080511068 title "Explicit representation of planar wave speed and dispersive relation in general excitable media" @default.
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- W2080511068 doi "https://doi.org/10.1088/1009-1963/9/3/002" @default.
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