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MODE INTERACTIONS WITH SYMMETRY

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UNSPECIFIED. (1995) MODE INTERACTIONS WITH SYMMETRY. DYNAMICS AND STABILITY OF SYSTEMS, 10 (1). pp. 13-31. ISSN 0268-1110

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Abstract

We prove several results concerning problems invariant under the action of an arbitrary compact Lie group Gamma. These include the existence of mixed-mode solutions and secondary Hopf bifurcations. We provide a definition of mode interaction which applies to a wide selection of problems and consider the unfolding of the equations characterizing such problems. Where appropriate, we distinguish the case when Gamma acts trivially on one of the modes.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Journal or Publication Title: DYNAMICS AND STABILITY OF SYSTEMS
Publisher: CARFAX PUBL CO
ISSN: 0268-1110
Date: 1995
Volume: 10
Number: 1
Number of Pages: 19
Page Range: pp. 13-31
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/19828

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