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Symmetry-breaking bifurcations of wreath product systems

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UNSPECIFIED (1999) Symmetry-breaking bifurcations of wreath product systems. JOURNAL OF NONLINEAR SCIENCE, 9 (6). pp. 671-695. ISSN 0938-8974

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Abstract

Patterns formed through steady-state and Hopf bifurcations in wreath product systems depend on both the internal and global symmetries. In this paper we explore some features of this dependence related to general constraints on commuting matrices. We describe the stability of steady states and periodic solutions of wreath product systems obtained from the Equivariant Branching Lemma and the Equivariant Hopf Theorem.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Q Science > QC Physics
Journal or Publication Title: JOURNAL OF NONLINEAR SCIENCE
Publisher: SPRINGER VERLAG
ISSN: 0938-8974
Date: November 1999
Volume: 9
Number: 6
Number of Pages: 25
Page Range: pp. 671-695
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/14031

Data sourced from Thomson Reuters' Web of Knowledge

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