| Hamilton系统辛算法的Nekhoroshev稳定性分析 |
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| 引用本文： | 王玲书,冯光辉,刘建芳.Hamilton系统辛算法的Nekhoroshev稳定性分析[J].军械工程学院学报,2008,20(3):70-72,75. |
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| 作者姓名： | 王玲书 冯光辉 刘建芳 |
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| 作者单位： | [1]军械工程学院基础部,河北石家庄050003 [2]河北经贸大学数学与统计学学院,河北石家庄050061 |
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| 摘 要： | 研究辛算法应用于Hamilton系统时的Nekhoroshev稳定性，利用辛映射的插值定理，得到了辛算法的插值定理，进而把它应用到凸Hamilton系统，得到了辛算法的Nekhoroshev稳定性，即辛算法在指数长时间内的稳定性。
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| 关 键 词： | Hamilton系统 辛算法 Nekhoroshev稳定性 |
Nekhoroshev Stability of Symplectic Methods for Hamiltonian Systems |
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| Institution: | WANG Ling-shu, FENG Guang-hui, LIU Jian-fang ( 1. Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China; 2. School of Mathematics and Statistics, Hebei University of Economics ＆ Business, Shijiazhuang 050061, China) |
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| Abstract: | In this paper,we study the Nekhoroshev＇stability of symplectic methods for Hamiltonian system. By the theory of the inclusion of analytic symplectic maps in Hamiltonian flows,we obtain the inclusion of symplectic algorithms in Hamiltonian flows. Furthermore and prove the Nekhoroshev theorem for symplectic algorithms applied to convex Hamiltonian systems. |
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| Keywords: | Hamiltonian system symplectic algorithms Nekhoroshev stability |
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