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.
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)~~
