Types of Bifurcations of FitzHugh–Nagumo Maps

被引：0

作者：

Jorge Duarte

Luís Silva

J. Sousa Ramos

机构：

[1] Instituto Superior de Engenharia de Lisboa,Departamento de Engenharia Química, Secção de Matemática

[2] Universidade de Évora,Departamento de Matemática

[3] Instituto Superior Técnico,Departamento de Matemática

来源：

Nonlinear Dynamics | 2006年 / 44卷

关键词：

Excitable systems; FitzHugh-Nagumo maps; bifurcations; route to chaos;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The FitzHugh–Nagumo-like systems are of fundamental importance to the understanding of the qualitative nature of nerve impulse propagation. Our work provides a numerical investigation of bifurcations associated with a family of piecewise differentiable canonical maps for a planar FitzHugh–Nagumo system. We describe the bifurcation structure of the maps with the variation of the parameters.

引用

页码：231 / 242

页数：11

共 11 条

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[4] Mackey M. C.(1996)Resonance in excitable systems under step function forcing. II. Subharmonic solutions and persistence Physica D 98 75-110
[5] Glass L.(1977)On the bifurcations of maps of the interval Inventiones Mathematicae 39 165-178
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