کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501779 1338787 2005 44 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Persistence of hyperbolic tori in Hamiltonian systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Persistence of hyperbolic tori in Hamiltonian systems
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 208, Issue 2, 15 January 2005, Pages 344-387
نویسندگان
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