Persistence of Lower Dimensional Tori for Hamiltonian Systems
De Ming ZHU,Yu Zhen BAI
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De Ming ZHU Yu Zhen BAI(Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China) (Fax: (021)62232527; E-mail: dmzhu@math.ecnu.edu.cn)
A generalized KAM theorem for lower dimensional tori in Hamiltonian systems is obtained, which applies to the case where there are normal frequencies and hyperbolic normal components simultaneously. The proof is based on the combination of a smoothness of J. G. You's theorem and the theory of normally hyperbolic invariant manifolds. Two other generalizations are also given.
De Ming ZHU,Yu Zhen BAI.
Persistence of Lower Dimensional Tori for Hamiltonian Systems. Acta Mathematica Sinica, Chinese Series, 2002, 45(5): 959-968 https://doi.org/10.12386/A2002sxxb0125
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