HOMOCLINIC ORBITS IN A PARAMETRIZED SADDLE-FOCUS SYSTEM

被引：16

作者：

FEROE, JA

机构：

[1] Department of Mathematics, Vassar College, Poughkeepsie

来源：

PHYSICA D | 1993年 / 62卷 / 1-4期

关键词：

D O I：

10.1016/0167-2789(93)90285-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a parametrized dynamical system with a saddle-focus equilibrium point and which, for one value of the parameter, has a homoclinic orbit. Conditions on the eigenvalues for the equilibrium point, together with transversality conditions, imply the existence of an infinite discrete set of parameter values for which the system has a homoclinic orbit. Such systems arise in the study of nerve axon equations where a homoclinic orbit corresponds to a finite train of nerve impulses traveling at a velocity identified by the associated parameter value.

引用

页码：254 / 262

页数：9

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