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A global continuation theorem and bifurcation from infinity for infinite-dimensional dynamical systems

Published online by Cambridge University Press:  14 November 2011

James R. Ward Jr.
James R. Ward Jr.
Affiliation:
Department of Mathematics, The University of Alabama at Birmingham, Birmingham, Alabama 35294, U.S.A.
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Abstract

A general continuation theorem for isolated sets in infinite-dimensional dynamical systems is proved for a class of semiflows. This result is then used to prove the existence of continua of full bounded solutions bifurcating from infinity for systems of reaction—diffusion equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 4 , 1996 , pp. 725 - 738
Copyright
Copyright © Royal Society of Edinburgh 1996

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