Abstract
We consider a Hamiltonian system with a one-parameter family of degenerate coisotropic invariant tori. We prove a theorem on the preservation of the majority of tori under small perturbations of the Hamiltonian.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 1, pp. 72–86, January, 1998.
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Parasyuk, I.O. Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems. Ukr Math J 50, 83–99 (1998). https://doi.org/10.1007/BF02514690
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DOI: https://doi.org/10.1007/BF02514690