Symmetry-Breaking Bifurcations of Wreath Product Systems
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- Dias, A. & Stewart, I. J. Nonlinear Sci. (1999) 9: 671. doi:10.1007/s003329900082
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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.