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Bifurcations in slowly rotating systems with spherical geometry

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Abstract

The effect of a slow rotation on a stationary bifurcation in an O(3)-equivariant system is considered. The Coriolis force induces a perturbed normal form, defined in the space of spherical harmonics of order l,in which the full O(3)-symmetry is broken down to SO(2). We discuss the case l = 1 in some detail and report briefly about corresponding results for l=2.

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Author information

Authors and Affiliations

  1. Institut für Informationsverarbeitung, Universität Tübingen, Köstlinstr. 6, D-7400, Tübingen, FR Germany

    G. Dangelmayr & C. Geiger

Authors
  1. G. Dangelmayr
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  2. C. Geiger
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Editor information

Editors and Affiliations

  1. Abteilung für Numerik, Universität Ulm, Oberer Eselsberg, D-7900, Ulm, Germany

    R. Seydel

  2. Institut für Physikalische Chemie, Universität Würzburg, Marcusstr. 9/11, D-8700, Würzburg, Germany

    F. W. Schneider

  3. Mathematisches Institut, Universität Köln, Weyertal 88, D-5000, Köln, Germany

    T. Küpper

  4. Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria

    H. Troger

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© 1991 Birkhäuser Verlag Basel

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Dangelmayr, G., Geiger, C. (1991). Bifurcations in slowly rotating systems with spherical geometry. In: Seydel, R., Schneider, F.W., Küpper, T., Troger, H. (eds) Bifurcation and Chaos: Analysis, Algorithms, Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 97. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7004-7_9

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  • DOI: https://doi.org/10.1007/978-3-0348-7004-7_9

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7006-1

  • Online ISBN: 978-3-0348-7004-7

  • eBook Packages: Springer Book Archive

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