Invariant hyperbolic tori for Hamiltonian systems with degeneracy

Fuzhong Cong; Yong Li

doi:10.3934/dcds.1997.3.371

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1997, Volume 3, Issue 3: 371-382. Doi: 10.3934/dcds.1997.3.371

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Invariant hyperbolic tori for Hamiltonian systems with degeneracy

Fuzhong Cong^1, and
Yong Li^1,

1.
Department of Mathematics, Jilin University, Changchun 130023

Received: October 1996

Published: July 1997

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Abstract

This paper deals with a problem, when the invariant hyperbolic tori for Hamiltonian systems persist under perturbation. An existence theorem about such invariant tori is proved. Because the unperturbed systems possess the stronger degeneracy, this generalizes the classical KAM theorem and a well known result of Graff.

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Mathematics Subject Classification: 58F05, 58F27, 58F30.

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