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New Families of Conservative Systems on S2 Possessing an Integral of Fourth Degree in Momenta

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Abstract

There is a well-known example of an integrable conservative system on S2, the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momenta. In this paper we propose new families of examples of conservative systems on S2 possessing an integral of fourth degree in momenta.

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Authors and Affiliations

  1. Department of Geometry, Nizhny Novgorod State Pedagogical University, ul. Ulyanova 1, Nizhny Novgorod, 603000, Russia

    Elena N. Selivanova

  2. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany

    Elena N. Selivanova

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  1. Elena N. Selivanova
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Selivanova, E.N. New Families of Conservative Systems on S2 Possessing an Integral of Fourth Degree in Momenta. Annals of Global Analysis and Geometry 17, 201–219 (1999). https://doi.org/10.1023/A:1006534224575

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