| 具拟周期摄动的近可积Hamiltonian系统的KAM型定理 |
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| 引用本文： | 刘柏枫,史少云,王国铭.具拟周期摄动的近可积Hamiltonian系统的KAM型定理[J].东北数学,2003,19(3):273-282. |
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| 作者姓名： | 刘柏枫 史少云 王国铭 |
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| 作者单位： | [1]SchoolofMathematics,JilinUniversity,130012；DepartmentofMathematic,BeihuaUniversitlhJilin,132013 [2]SchoolofMathematice,JilinUniuersity,130012 |
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| 基金项目： | The NNSF (10271003) of China. |
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| 摘 要： | 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 Rtissmann 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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| 关 键 词： | KAM型定理 拟周期摄动 近可积Hamilton系统 不变环面 解析函数 持久性 Rueissmann非退化条件 共链非共振条件 舍位 |
KAM-type Theorem for Nearly Integrable Hamiltonian with a Quasiperiodic Perturbation |
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| LIU Baifeng.KAM-type Theorem for Nearly Integrable Hamiltonian with a Quasiperiodic Perturbation[J].Northeastern Mathematical Journal,2003,19(3):273-282. |
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| Authors: | LIU Baifeng |
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| Abstract: | 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 unper-turbed system satisfies the Rueissmann 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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| Keywords: | Hamiltonian system quasiperiodic perturbation invariant tori |
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