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Homoclinic solutions for coupled systems of differential equations

Published online by Cambridge University Press:  14 November 2011

P. Grindrod  and
B. D. Sleeman
P. Grindrod
Affiliation:
Department of Mathematical Sciences, University of Dundee, Dundee DD1 4HN
B. D. Sleeman
Affiliation:
Department of Mathematical Sciences, University of Dundee, Dundee DD1 4HN
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Synopsis

Topological ideas based on the notion of flows and Wazewski sets are used to establish the existence of homoclinic orbits to a class of Hamiltonian systems. The results, as indicated, are applicable to a variety of reaction diffusion equations including models of bundles of unmyelinated nerve axons.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 3-4 , 1985 , pp. 319 - 328
Copyright
Copyright © Royal Society of Edinburgh 1985

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