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The periodic orbits of an area preserving twist map

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Abstract

We study the oscillation properties of periodic orbits of an area preserving twist map. The results are inspired by the similarity between the gradient flow of the associated action-function, and a scalar parabolic PDE in one space dimension. The Conley-Zehnder Morse theory is used to construct orbits with prescribed oscillatory behavior.

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Author notes

  1. S. B. Angenent

    Present address: Department of Mathematics, University of Wisconsin, Van Vleck Hall, 480 Lincoln Drive, 53706, Madison, WI, USA

Authors and Affiliations

  1. Department of Mathematics, University of Leiden, Niels Bohrweg 1, Leiden, The Netherlands

    S. B. Angenent

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  1. S. B. Angenent
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Communicated by J. N. Mather

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Angenent, S.B. The periodic orbits of an area preserving twist map. Commun.Math. Phys. 115, 353–374 (1988). https://doi.org/10.1007/BF01218016

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  • DOI: https://doi.org/10.1007/BF01218016

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