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Reversible equivariant linear systems

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Lamb, Jeroen S. W. and Roberts, Mark (1999) Reversible equivariant linear systems. Journal of Differential Equations, 159 (1). pp. 239-279. doi:10.1006/jdeq.1999.3632 ISSN 0022-0396.

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Official URL: http://dx.doi.org/10.1006/jdeq.1999.3632

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Abstract

In this paper we classify the structure of linear reversible systems (vector fields) on Rn 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. © 1999 Academic Press.

Item Type: Journal Article
Subjects: R Medicine > R Medicine (General)
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of Differential Equations
Publisher: Academic Press
ISSN: 0022-0396
Official Date: 20 November 1999
Dates:
DateEvent
20 November 1999Published
Volume: 159
Number: 1
Page Range: pp. 239-279
DOI: 10.1006/jdeq.1999.3632
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 26 July 2018

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