Title of article :
Persistence of hyperbolic tori in Hamiltonian systems
Author/Authors :
Yong Li، نويسنده , , Yingfei Yi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
44
From page :
344
To page :
387
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
Keywords :
Hamiltonian system , Hyperbolicity , kam theory , Invariant tori
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year :
2005
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number :
750571
Link To Document :
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