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Reversible equivariant linear systems

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UNSPECIFIED (1999) Reversible equivariant linear systems. JOURNAL OF DIFFERENTIAL EQUATIONS, 159 (1). pp. 239-279. ISSN 0022-0396

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Abstract

In this paper we classify the structure of linear reversible systems (vector fields) on R-n that are equivariant with respect to a linear representation of a compact Lie group H. We assume the time-reversal symmetry R also acts linearly and is such that the group G that is generated by H and R is again a compact Lie group. The main tool for the classification is the representation theory of compact Lie groups. The results are applied to some generic eigenvalue movements of linear reversible equivariant systems. (C) 1999 Academic Press.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: JOURNAL OF DIFFERENTIAL EQUATIONS
Publisher: ACADEMIC PRESS INC
ISSN: 0022-0396
Date: 20 November 1999
Volume: 159
Number: 1
Number of Pages: 41
Page Range: pp. 239-279
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/13950

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