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Homoclinic solutions for coupled systems of differential equations

Published online by Cambridge University Press:  14 November 2011

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

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
Copyright
Copyright © Royal Society of Edinburgh 1985

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