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Bifurcational Aspects of Parametric Resonance

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Dynamics Reported

Part of the book series: Dynamics Reported ((DYNAMICS,volume 1))

Abstract

Generic nonlinear oscillators with parametric forcing are considered near resonance. This can be seen as a case-study in the bifurcation theory of Hamiltonian systems with or without certain discrete symmetries. In the analysis, among other things, structure preserving normal form or averaging techniques are used, as well as equivariant singularity theory and theory of flat perturbations.

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Authors
  1. H. W. Broer
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  2. G. Vegter
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Editor information

Editors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, 02912, Rhode Island, USA

    C. K. R. T. Jones

  2. Mathematics, Swiss Federal Institute of Technology (ETH), CH-8092, Zürich, Switzerland

    U. Kirchgraber

  3. Mathematics, Ludwig-Maximilians University, W-8000, Munich, Germany

    H. O. Walther

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© 1992 Springer-Verlag Berlin Heidelberg

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Broer, H.W., Vegter, G. (1992). Bifurcational Aspects of Parametric Resonance. In: Jones, C.K.R.T., Kirchgraber, U., Walther, H.O. (eds) Dynamics Reported. Dynamics Reported, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61243-5_1

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  • DOI: https://doi.org/10.1007/978-3-642-61243-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64758-1

  • Online ISBN: 978-3-642-61243-5

  • eBook Packages: Springer Book Archive

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