J Austral Math Soc Ser B 38 pp427--453, 1997.

Analytical and numerical studies of the Bonhoeffer Van der Pol system

Belinda Barnes and Roger Grimshaw

(Received 9 December 1994; revised 7 May 1995

Abstract

The Bonhoeffer Van der Pol system is a planar autonomous nonlinear system of differential equations which has been invoked as a qualitative model of physiological states in a nerve membrane. It contains three independent parameters and previous work has only studied a small portion of the parameter space, that part which is thought to be of physiological relevance. Here we give a complete study of the full parameter space, using both theoretical results and numerical solutions.

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Authors

Belinda Barnes
Roger Grimshaw: Department of Mathematics, Monash University, Clayton, Victoria 3168 Australia.

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Last Modified: Mon Dec 10 17:04:49 2001