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Description of singularities for system “billiard in an ellipse”

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Abstract

A “billiard in an ellipse” is an integrable system appearing in the description of a point motion inside an ellipse with natural reflections at the boundary. A topological invariant of Liouville equivalence of this system, i.e., the Fomenko-Zieschang molecule, is calculated in the paper by a new method developed by the author.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    V. V. Fokicheva

Authors
  1. V. V. Fokicheva
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Additional information

Original Russian Text © V.V. Fokicheva, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 5, pp. 31–34.

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Fokicheva, V.V. Description of singularities for system “billiard in an ellipse”. Moscow Univ. Math. Bull. 67, 217–220 (2012). https://doi.org/10.3103/S0027132212050063

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  • DOI: https://doi.org/10.3103/S0027132212050063

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