摘要
Ｈａｍｉｌｔｏｎ向量场在弹性力学、天体物理等许多领域内都有应用，在文献［１］中，讨论了具有等变性质的平面三次Ｈａｍｉｌｔｏｎ向量场的分枝；在文献［２］中，给出了具有等变性质的平面五次Ｈａｍｉｌｔｏｎ向量场的一般形式。本文利用旋转对称群理论，给出了七次等变Ｈａｍｉｌｔｏｎ向量场的一般形式，为进一步研究该类向量场的各种动力学性质奠定了基础，为实际应用提供了便利。
Hamiltonian vector field is used in many fields such as elasticity mechanics and astrophysics, etc. In reference , the bifurcation of equivlent planar cubic vector field is considered. In reference, the general form of equivlent planar quintic Hamiltonian system is obtained. In this paper ,by using the theory of symmtry group and its representation , we obtain the general form of equivlent seven degree planar Hamiltonian vector field. It is the foundation to study this class of vector field. And it is convient for practice.
出处
《云南师范大学学报（自然科学版）》
1998年第2期7-11,共5页
Journal of Yunnan Normal University:Natural Sciences Edition
