Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems

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Chow, Li and Yi in [2] proved that the majority of the unperturbed tori {\it on sub-manifolds} will persist for standard Hamiltonian systems. Motivated by their work, in this paper, we study the persistence and tangent frequencies preservation of lower dimensional invariant tori on smooth sub-manifolds for real analytic, nearly integrable Hamiltonian systems. The surviving tori might be elliptic, hyperbolic, or of mixed type.
25 pages. To appear in Nonlinear Analysis: TMA

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Dynamical Systems, 37J40; 70H08

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http://salesiana.dossiersoluciones.com/handle/123456789/74627

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503530
 http://arxiv.org/abs/math/0503530

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arXiv