| PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION |
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| 作者姓名： | 白玉真 朱德明 |
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| 作者单位： | [1]DepartmentofMathematics,QufuNormalUniversity,Qufu273165,China [2]DepartmentofMathematics,EastChinaNormalUniversity,Shanghai200062,China |
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| 摘 要： | A persistence theorem for resonant invariant tori with non-Hamiltonian perturbation is proved. The method is a combination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation method. The results obtained are extensions of Chicone‘s for the three dimensional non-Hamiltonian systems.
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| 关 键 词： | 正则双曲型不变流形 不变圆环面 连续法 数学物理 |
| 收稿时间： | 30 December 2002 |
PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION |
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| Bai Yuzhen,ZHU Deming.PERSISTENCE OF RESONANT INVARIANT TORI WITH NON-HAMILTONIAN PERTURBATION[J].Acta Mathematica Scientia,2005,25(3):481-491. |
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| Authors: | Bai Yuzhen ZHU Deming |
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| Institution: | Department of Mathematics, Qufu Normal University, Qufu 273165, China;Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | A persistence theorem for resonant invariant tori with non-Hamiltonian perturbation is proved. The method is a combination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation method. The results obtained are extensions of Chicone's for the three dimensional non-Hamiltonian systems. |
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| Keywords: | Normally hyperbolic invariant manifolds invariant tori persistence continuation method |
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