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Bifurcation and Chaos: Analysis, Algorithms, Applications pp 377–388Cite as

Computation of Hopf Branches Bifurcating from Takens-Bogdanov Points for Problems with Symmetries

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Abstract

We consider dynamical systems of O.D.E.’s

$$\dot x = g(x,\lambda ,a),$$
(1.1)

where x ∈ X = ℝN is the state variable, λ ∈ ℝ is a distinguished bifurcation parameter, α is an additional imperfection or control parameter, and g : X × ℝ × ℝ → X is sufficiently smooth.

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Hamburg, Bundesstr.55, D 2000, Hamburg 13, Germany

    Bodo Werner

  2. Department of Numerical Analysis, Charles University of Prague, Malostranska nam. 2/25, 118 00, Praha 1, CSFR

    Vladimir Janovsky

Authors
  1. Bodo Werner
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  2. Vladimir Janovsky
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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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Werner, B., Janovsky, V. (1991). Computation of Hopf Branches Bifurcating from Takens-Bogdanov Points for Problems with Symmetries. 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_49

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  • DOI: https://doi.org/10.1007/978-3-0348-7004-7_49

  • 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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