2017
Том 69
№ 9

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

Parasyuk I. O.

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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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 5, pp 572-580.

Citation Example: Parasyuk I. O. Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I // Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 537–544.

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