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Transitions between nonsymmetric and symmetric steady states near a triple eigenvalue

Cohen, D. S. and Erneux, T. (1983) Transitions between nonsymmetric and symmetric steady states near a triple eigenvalue. SIAM Journal on Applied Mathematics, 43 (5). pp. 1061-1074. ISSN 0036-1399. http://resolver.caltech.edu/CaltechAUTHORS:COHsiamjam83b

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Abstract

We examine the existence of nonuniform steady-state solutions of a certain class of reaction-diffusion equations. Our analysis concentrates on the case where the first bifurcation is near a triple eigenvalue. We derive the conditions for a continuous transition between nonsymmetric and symmetric solutions when the bifurcation parameter progressively increases from zero. Finally, we give an example of a four variables model which presents the possibility of a triple eigenvalue.


Item Type:Article
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http://dx.doi.org/10.1137/0143069DOIUNSPECIFIED
Additional Information:©1983 Society for Industrial and Applied Mathematics. Received by the editors January 7, 1981, and in revised form October 20, 1982. T.E. is Chargé de Recherches du Fonds National de la Recherche Scientifique (Belgium). We thank Professor E. L. Reiss for the critical reading of the manuscript.
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Fonds National de la Recherche Scientifique (Belgium)UNSPECIFIED
Record Number:CaltechAUTHORS:COHsiamjam83b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:COHsiamjam83b
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12666
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:15 Jan 2009 21:54
Last Modified:26 Dec 2012 10:38

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