Symmetry-breaking bifurcations of wreath product systems

Authors
Dias, APS Stewart, I
Citation
Aps. Dias et I. Stewart, Symmetry-breaking bifurcations of wreath product systems, J NONLIN SC, 9(6), 1999, pp. 671-695
Citations number
21
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NONLINEAR SCIENCE
ISSN journal
09388974 → ACNP
Volume
9
Issue
6
Year of publication
1999
Pages
671 - 695
Database
ISI
SICI code
0938-8974(199911/12)9:6<671:SBOWPS>2.0.ZU;2-V
Abstract
Patterns formed through steady-state and Hopf bifurcations in wreath produc t 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 perio dic solutions of wreath product systems obtained from the Equivariant Branc hing Lemma and the Equivariant Hopf Theorem.