中国物理B ›› 2004, Vol. 13 ›› Issue (12): 2003-2007.doi: 10.1088/1009-1963/13/12/005
陈向炜, 王新民, 王明泉
Chen Xiang-Wei (陈向炜), Wang Xin-Min (王新民), Wang Ming-Quan (王明泉)
摘要: Based on the theory of symmetries and conserved quantities, the exact invariants and adiabatic invariants of a dynamical system of relative motion are studied. The perturbation to symmetries for the dynamical system of relative motion under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied.
中图分类号: (General theory of classical mechanics of discrete systems)