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Commutative partially integrable systems on Poisson manifolds

  • Theoretical and Mathematical Physics
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Moscow University Physics Bulletin Aims and scope

Abstract

We show that, as distinct from completely integrable Hamiltonian systems, a commutative partially integrable system admits different compatible Poisson structures on a phase manifold that are related by a recursion operator. The existence of action–angle coordinates around an invariant submanifold of such a partially integrable system is proved.

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Authors and Affiliations

  1. Department of Physics, Moscow State University, Moscow, 119991, Russia

    A. V. Kurov

Authors
  1. A. V. Kurov
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Correspondence to A. V. Kurov.

Additional information

Original Russian Text © A.V. Kurov, 2016, published in Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2016, No. 4, pp. 36–41.

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Cite this article

Kurov, A.V. Commutative partially integrable systems on Poisson manifolds. Moscow Univ. Phys. 71, 375–380 (2016). https://doi.org/10.3103/S0027134916040135

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  • DOI: https://doi.org/10.3103/S0027134916040135

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