UNSPECIFIED (1998) Hopf bifurcation for wreath products. NONLINEARITY, 11 (2). pp. 247-264. ISSN 0951-7715

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Abstract

Systems of ordinary differential equations modelling coupled cells with 'wreath product' coupling have been the subject of recent research. For identical cells, such systems can have interesting symmetries. The basic existence theorem for Hopf bifurcation in the symmetric case is the equivariant Hopf theorem, which involves isotropy subgroups with a two-dimensional fixed-point subspace (called C-axial). A classification theorem for C-axial subgroups in wreath products has been presented by Dionne et al. However, their classification is incomplete: it omits some C-axial subgroups in some cases. We provide a complete classification of the C-axial subgroups in wreath products. We also classify the maximal isotropy subgroups for these groups.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	NONLINEARITY
Publisher:	IOP PUBLISHING LTD
ISSN:	0951-7715
Date:	March 1998
Volume:	11
Number:	2
Number of Pages:	18
Page Range:	pp. 247-264
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/15915

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