Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems

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dc.creatorLiu, Zhenxin
dc.creatorYihe, Dalai
dc.creatorHuang, Qingdao
dc.date2006-10-21
dc.date.accessioned2026-07-07T07:29:17Z
dc.date.available2026-07-07T07:29:17Z
dc.descriptionIn this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimensional in tangent direction. Our results generalize the well-known results of Graff and Zehnder in standard Hamiltonians. In our case the unperturbed Hamiltonian systems may be degenerate. We also consider the persistence problem of hyperbolic tori on sub-manifolds.
dc.descriptionLaTeX, 17 pages
dc.identifierhttps://arxiv.org/abs/math/0610641
dc.identifierhttp://arxiv.org/abs/math/0610641
dc.identifierNortheast. Math. J. 21 (4) (2005), 447-464
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118048
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37J40; 70H05; 70K60
dc.titlePersistence of Hyperbolic Tori in Generalized Hamiltonian Systems
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