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Mather Sets for Twist Maps and Geodesics on Tori

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Dynamics Reported

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

Abstract

The title refers to a theory which is based on independent research in three different fields—differential geometry, dynamical systems and solid state physics—and which has attracted growing interest and research activity in the last few years. The objects of this theory are respectively:

  1. (1)

    Geodesics on a 2-dimensional torus with Riemannian (or symmetric Finsler) metric.

  2. (2)

    The dynamics of monotone twist maps of an annulus.

  3. (3)

    The discrete Frenkel-Kontorova model.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Bern, Switzerland

    V. Bangert

Authors
  1. V. Bangert
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Editor information

Editors and Affiliations

  1. Applied Mathematics, Swiss Federal Institute of Technology (ETH), CH-8092, Zurich, Switzerland

    Urs Kirchgraber

  2. Mathematics, Ludwig-Maximilians University, D-8000, Munich, Federal Republic of Germany

    Hans-Otto Walther

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© 1988 John Wiley & Sons and B. G. Teubner

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Bangert, V. (1988). Mather Sets for Twist Maps and Geodesics on Tori. In: Kirchgraber, U., Walther, HO. (eds) Dynamics Reported. Dynamics Reported, vol 1. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96656-8_1

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  • DOI: https://doi.org/10.1007/978-3-322-96656-8_1

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-519-02150-6

  • Online ISBN: 978-3-322-96656-8

  • eBook Packages: Springer Book Archive

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