Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501779 | Journal of Differential Equations | 2005 | 44 Pages |
Abstract
We generalize the well-known result of Graff and Zehnder on the persistence of hyperbolic invariant tori in Hamiltonian systems by considering non-Floquet, frequency varying normal forms and allowing the degeneracy of the unperturbed frequencies. The preservation of part or full frequency components associated to the degree of non-degeneracy is considered. As applications, we consider the persistence problem of hyperbolic tori on a submanifold of a nearly integrable Hamiltonian system and the persistence problem of a fixed invariant hyperbolic torus in a non-integrable Hamiltonian system.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yong Li, Yingfei Yi,