| EFFECTIVE STABILITY FOR NEARLY INTEGRABLE MAPPINGS WITH INTERSECTION PROPERTY |
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| 作者姓名： | Han Yuliang Cong Fuzhong |
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| 作者单位： | School of Math. and Information Science，Shandong Institute of Business and Technology，Yantai 264005; Office of Math.，Fundamental Department，Aviation University of Air Force，Changchun 130022 |
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| 基金项目： | Partially supported by NSFC (10101030) grant. |
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| 摘 要： | We consider a nearly integrable mapping with a fixed twist frequency. Under the intersection property and Diophantine condition we prove that the mapping possesses effective stability. In particular, the mapping considered may have different dimensions of action-angle variables in our case.
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| 关 键 词： | 积分映射 交叉性质 稳定性 旋转频率 丢番图方程 |
EFFECTIVE STABILITY FOR NEARLY INTEGRABLE MAPPINGS WITH INTERSECTION PROPERTY |
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| Han Yuliang Cong Fuzhong.EFFECTIVE STABILITY FOR NEARLY INTEGRABLE MAPPINGS WITH INTERSECTION PROPERTY[J].微分方程年刊(英文版),2005,21(3):294-299. |
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| Authors: | Han Yuliang Cong Fuzhong |
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| Institution: | [1]School of Math. and Information Science, Shandong Institute of Business and Technology, Yantai 264005 [2]Office of Math., Fundamental Department, Aviation University of Air Force, Changchun 130022 |
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| Abstract: | We consider a nearly integrable mapping with a fixed twist frequency. Under the intersection property and Diophantine condition we prove that the mapping possesses effective stability. In particular, the mapping considered may have different dimensions of action-angle variables in our case. |
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| Keywords: | effective stability nearly integrable mapping intersection property |
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