| Birkhoff意义下Hojman Urrutia方程的离散变分计算 |
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| 引用本文： | 宋端,刘世兴.Birkhoff意义下Hojman Urrutia方程的离散变分计算[J].动力学与控制学报,2013,11(3):199-202. |
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| 作者姓名： | 宋端 刘世兴 |
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| 作者单位： | 1. 辽东学院影像物理教研室,丹东,118001
2. 辽宁大学物理学院,沈阳,110036 |
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| 基金项目： | 国家自然科学基金资助项目（11202090,11172120,10932002） |
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| 摘 要： | 在Birkhoff框架下,采用离散变分方法研究了非Hamilton系统-Hojman-Urrutia方程的数值解法,并通过和传统的Runge-Kutta方法进行比较,说明了在Birkhoff框架下研究这类不具有简单辛结构的非Hamilton系统可以得到更可靠和精确的数值结果.
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| 关 键 词： | Birkhoff方程 Hojman-Urrutia方程 非Hamilton系统 离散变分计算 |
| 收稿时间： | 2012/9/17 0:00:00 |
| 修稿时间： | 2013/4/16 0:00:00 |
Discrete variational calculation of hojman urrutia equation in the birkhoffian sense |
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| Song Duan and Liu Shixing.Discrete variational calculation of hojman urrutia equation in the birkhoffian sense[J].Journal of Dynamics and Control,2013,11(3):199-202. |
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| Authors: | Song Duan and Liu Shixing |
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| Affiliation: | Song Duan Liu Shixing Guo Yongxin (1 Eastern Liaoning University, Physics of medical imaging department, dandong 118001, China (2. College of Physics, Liaoning University, Shenyang 110036, China) |
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| Abstract: | By using the discrete variatonal method in the framework of Birkhoffian systems, this paper researched the numerical algorithms of Hojman Urrutia equation, which is a non Hamiltonian system. Compared with Runge Kutta method, the numerical results show that the more reliable and accurate numerical results can be obtained when the non Hamilton systems that have not simple symplectic structure are studied in the Birkhoffian sense. |
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| Keywords: | Birkhoff's equations Hojman-Urrutia equation non-Hamilton system discrete variational methods |
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