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- W4287908291 abstract "In this paper, we consider the lower dimensional invariant tori for generalized Hamiltonian system. A so-called generalized Hamiltonian system is defined on a Poisson manifold which can be odd dimensional and structurally degenerate. The existence of quasi-periodic invariant tori for Hamiltonian with standard symplectic structure was first shown by Arnold [?] under a degeneracy-removing condition. We prove the persistence of lower dimensional tori for Hamiltonian with Poisson structure instead of standard symplectic structure, when the tangential and normal frequencies satisfy some certain conditions." @default.
- W4287908291 created "2022-07-26" @default.
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- W4287908291 date "2022-01-01" @default.
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- W4287908291 title "ARNOLD-TYPE THEOREM ABOUT LOWER-DIMENSIONAL INVARIANT TORI IN GENERALIZED HAMILTONIAN SYSTEMS" @default.
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- W4287908291 doi "https://doi.org/10.11948/20220236" @default.
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