| 一类非线性拟周期系统的约化 |
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| 引用本文： | 王小才.一类非线性拟周期系统的约化[J].淮阴工学院学报,2011,20(3):1-7. |
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| 作者姓名： | 王小才 |
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| 作者单位： | 淮阴工学院数理学院,江苏淮安,223003 |
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| 基金项目： | 淮阴工学院科研基金项目 |
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| 摘 要： | 推广了文献8]的结果,考虑一类带小扰动参数的实解析非线性拟周期系统的约化问题,证明对于绝大多数充分小的扰动参数,在适当的非共振条件下,不需要任何的非退化条件,就可以通过一个仿射的拟周期变换,把系统在零平衡点附近约化成一个适当的标准形。
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| 关 键 词： | 拟周期解 非退化条件 KAM迭代 |
On the Reducibility of a Class of Nonlinear Quasi-periodic System |
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| WANG Xiao-cai.On the Reducibility of a Class of Nonlinear Quasi-periodic System[J].Journal of Huaiyin Institute of Technology,2011,20(3):1-7. |
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| Authors: | WANG Xiao-cai |
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| Affiliation: | WANG Xiao-cai(Faculty of Mathematics and Physics,Huaiyin Institute of Technology,Huai’an Jiangsu 223003,China) |
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| Abstract: | This paper generalizes the literature 8] and focuses on the reducibility of a class of the real nonlinear analytical quasi-periodic system.With some suitable non-resonant conditions and without any non-degeneracy condition,we change the system into a sui |
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| Keywords: | quasi-periodic solution non-degeneracy condition KAM iteration |
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