WAVE-FRONT PROPAGATION AND ITS FAILURE IN COUPLED SYSTEMS OF DISCRETE BISTABLE CELLS MODELED BY FITZHUGH-NAGUMO DYNAMICS

被引：45

作者：

ANDERSON, ARA ^{[1
]}

SLEEMAN, BD ^{[1
]}

机构：

[1] UNIV DUNDEE,DUNDEE CTR NONLINEAR SYST BIOL,DEPT MATH & COMP SCI,DUNDEE DD2 5DA,SCOTLAND

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1995年 / 5卷 / 01期

关键词：

D O I：

10.1142/S0218127495000053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss wave front propagation and its failure for the discrete FitzHugh-Nagumo system. We show, using a new comparison theorem, that wave front propagation is blocked for d, the coupling coefficient, sufficiently small and propagation must occur for d sufficiently large. Our numerical simulations confirm the analytical findings. We also give a numerical estimate for the speed of propagating waves as a function of d.

引用

页码：63 / 74

页数：12

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