Perturbation to Symmetries and Adiabatic Invariants of Nonholonomic Dynamical System of Relative Motion  

作　　者：CHENXiang-Wei WANGMing-Quan WANGXin-Min 

机构地区：[1]DepartmentofPhysics,ShangqiuTeachersCollege,Shangqiu476000,China

出　　处：《Communications in Theoretical Physics》2005年第4期577-581,共5页理论物理通讯（英文版）

基　　金：国家自然科学基金，河南省自然科学基金

摘　　要：Based on the theory of symmetries and conserved quantities, the exact invariants and adiabatic invariants of nonholonomic dynamical system of relative motion are studied. The perturbation to symmetries for the nonholonomic 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.

关 键 词：nonholonomic dynamical system of relative motion PERTURBATION exactinvariant adiabatic invariant 

分 类 号：O411.1[理学—理论物理]