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Symmetry-Breaking Bifurcations of Wreath Product Systems

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Summary.

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.

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Authors and Affiliations

  1. Departamento de Matemática Pura, Centro de Matemática Aplicada, Faculdade de Ciências, Universidade do Porto, Praça Gomes Teixeira, 4 050 Porto, Portugal, PT

    A. P. S. Dias

  2. Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK,{E-mail: ins@maths.warwick.ac.uk}, GB

    I. Stewart

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  1. A. P. S. Dias
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  2. I. Stewart
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Received April 14, 1998; revised October 22, 1998; accepted November 16, 1998

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Dias, A., Stewart, I. Symmetry-Breaking Bifurcations of Wreath Product Systems. J. Nonlinear Sci. 9, 671–695 (1999). https://doi.org/10.1007/s003329900082

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  • DOI: https://doi.org/10.1007/s003329900082

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