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Analytical and numerical studies of the Bonhoeffer van der Pol system

Published online by Cambridge University Press:  17 February 2009

Belinda Barnes  and
Roger Grimshaw
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 38 , Issue 4 , April 1997 , pp. 427 - 453
Copyright
Copyright © Australian Mathematical Society 1997

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