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Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I

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Abstract

Hamiltonian systems invariant under the non-Poisson torus action are studied on a symplectic manifold. Conditions are established under which coisotropic invariant tori filled with quasiperiodic motions exist in these systems.

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Authors and Affiliations

  1. Kiev University, Kiev

    I. O. Parasyuk

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  1. I. O. Parasyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 537–544, May, 1994.

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Parasyuk, I.O. Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I. Ukr Math J 46, 572–580 (1994). https://doi.org/10.1007/BF01058520

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  • DOI: https://doi.org/10.1007/BF01058520

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