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July  1997, 3(3): 371-382. doi: 10.3934/dcds.1997.3.371

Invariant hyperbolic tori for Hamiltonian systems with degeneracy

1. 

Department of Mathematics, Jilin University, Changchun 130023, China, China

Received  October 1996 Published  April 1997

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.
Citation: Fuzhong Cong, Yong Li. Invariant hyperbolic tori for Hamiltonian systems with degeneracy. Discrete & Continuous Dynamical Systems - A, 1997, 3 (3) : 371-382. doi: 10.3934/dcds.1997.3.371
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