Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427077 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 24 Pages |
Abstract
Chow et al. (J. Non. Sci. 12 (2002) 585) proved that the majority of the unperturbed tori 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.
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Authors
Zhenxin Liu,