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Hopf-type bifurcations in the presence of linear and nonlinear symmetries

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Bifurcation and Symmetry

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Abstract

In this note, we discuss the existence and some properties of different types of bifurcating solutions (in particular, “Hopf-type” bifurcations) to dynamical systems: a common feature of all these solutions will be the close relationship with some nontrivial symmetry property.

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Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Università - p.a Torricelli 2, I-56126, Pisa, Italy

    G. Cicogna

Authors
  1. G. Cicogna
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, Colorado State University, Fort Collins, CO, 80523, USA

    Eugene L. Allgower

  2. Fachbereich Mathematik, Universität Marburg, Hans-Meerwein-Str., Lahnberge, D-W-3550, Marburg, Germany

    Klaus Böhmer

  3. Dept. of Mathematics, University of Houston, University Park, Houston, TX, 77204-3476, USA

    Martin Golubitsky

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© 1992 Birkhäuser Verlag Basel

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Cicogna, G. (1992). Hopf-type bifurcations in the presence of linear and nonlinear symmetries. In: Allgower, E.L., Böhmer, K., Golubitsky, M. (eds) Bifurcation and Symmetry. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 104. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7536-3_7

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  • DOI: https://doi.org/10.1007/978-3-0348-7536-3_7

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7538-7

  • Online ISBN: 978-3-0348-7536-3

  • eBook Packages: Springer Book Archive

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