摘要
利用吴方法对多项式类型带约束的Hamilton系统作了研究.给出了判断系统是否正则的一个新算法.对于正则系统,可以得到Hamilton函数和运动方程,而对退化的系统给出了两个求解约束的新算法,得到带约束的Hamilton函数和运动方程.利用符号计算软件,这几个算法都可以在计算机上实现.
In this paper, the polynomial type of Hamilton system is considered. Using Wu elimination method, a new algorithm is given to determine the system regularity. For regular systems, the Hamiltonian and motion equations are obtained. For degenerate systems, two new algorithms are given to solve the constraints, and the constrained Hamiltonian and constrained motion equations are obtained. These algorithms can be executed in symbolic computation software platform.
出处
《系统科学与数学》
CSCD
北大核心
2008年第4期406-415,共10页
Journal of Systems Science and Mathematical Sciences
基金
中国科学院研究生院科研启动基金(KYQD200502)资助项目．
