具拟周期摄动的近可积Hamiltonian系统的KAM型定理
구의주기섭동적근가적Hamiltonian계통적KAM형정리
KAM-type Theorem for Nearly Integrable Hamiltonian with a Quasiperiodic Perturbation
  • 万方数据
    东北数学(英文版) 동북수학(영문판)
    NORTHEASTERN MATHEMATICAL JOURNAL
    2003年 3期 273-282 ,共10页

    刘柏枫%史少云%王国铭

    류백풍%사소운%왕국명



    Hamiltonian system%quasiperiodic perturbation%invariant tori


    In this paper we consider the persistence of invariant tori of an integrable Hamiltonian system with a quasiperiodic perturbation. It is proved that if the unperturbed system satisfies the Russmann non-degenerate condition and the perturbed system satisfies the co-linked non-resonant condition, then the majority of invariant tori is persistent under the perturbation.
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