Birkhoff意义下Hojman-Urrutia方程的离散变分计算  

DISCRETE VARIATIONAL CALCULATION OF HOJMAN-URRUTIA EQUATION IN THE BIRKHOFFIAN SENSE

作　　者：宋端[1] 刘世兴[2] 

机构地区：[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

出　　处：《动力学与控制学报》2013年第3期199-202,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11202090;11172120;10932002)~~

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.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.

关 键 词：BIRKHOFF方程 Hojman—Urrutia方程 非Hamilton系统 离散变分计算 

分 类 号：O175[理学—数学]