| 具有相交性质的近小扭转映射的不变环面的保持性 |
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| 引用本文： | 祝文壮,黄庆道,刘柏枫.具有相交性质的近小扭转映射的不变环面的保持性[J].东北数学,2004,20(2):175-190. |
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| 作者姓名： | 祝文壮 黄庆道 刘柏枫 |
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| 作者单位： | School of Mathematics，Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012 |
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| 摘 要： | In this paper we investigate the nearly small twist mappings with intersection property. With a certain non-degenerate condition, we proved that the most of invariant tori of the original small twist mappings will survive afer small perturtations. The persisted invariant tori are close to the unperturbed ones when the perturbation are small. The orbits reduced by those mappings are quasi-periodic in the invariant tori with the frequences closing to the original ones.
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| 关 键 词： | 定性理论 映射 微分方程 不变量圆环面 |
The Persistence of Invariant Tori in Nearly Small Twist Mappings with Intersection Property |
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| ZHU Wen-zhuang HUANG Qing-dao and LIU Bai-feng.The Persistence of Invariant Tori in Nearly Small Twist Mappings with Intersection Property[J].Northeastern Mathematical Journal,2004,20(2):175-190. |
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| Authors: | ZHU Wen-zhuang HUANG Qing-dao and LIU Bai-feng |
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| Institution: | SchoolofMathematics,JilinUniversity,Changchun,130012 |
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| Abstract: | In this paper we investigate the nearly small twist mappings with intersection property. With a certain non-degenerate condition, we proved that the most of invariant tori of the original small twist mappings will survive afer small perturtations. The persisted invariant tori are close to the unperturbed ones when the perturbation are small. The orbits reduced by those mappings are quasi-periodic in the invariant tori with the frequences closing to the original ones. |
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| Keywords: | small twist mapping intersection property invariant tori |
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