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Degenerate bifurcations with Z(2) circle plus Z(2)-symmetry

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UNSPECIFIED (1999) Degenerate bifurcations with Z(2) circle plus Z(2)-symmetry. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 9 (8). pp. 1653-1667. ISSN 0218-1274

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Abstract

Bifurcation problems with the symmetry group Z(2) + Z(2) of the rectangle are common in applied science, for example, whenever a Euclidean invariant PDE is posed on a rectangular domain. In this work we derive normal forms for one-parameter bifurcations of steady states with symmetry of the group Z(2) + Z(2). We study degeneracies of Z(2) + Z(2)-codimension 3 and modality 1. We also deduce persistent bifurcation diagrams when the system is subject to symmetry-preserving perturbations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science
Journal or Publication Title: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD
ISSN: 0218-1274
Date: August 1999
Volume: 9
Number: 8
Number of Pages: 15
Page Range: pp. 1653-1667
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/14034

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