Adiabatic invariants of generalized Lutzky type for disturbed holonomic nonconservative systems  

作　　者：罗绍凯 蔡建乐 贾利群 

机构地区：[1]Institute of Mathematical Mechanics and Mathematical Physics,Zhejiang Sci-Tech University [2]Department of Physics, Hangzhou Teachers College [3]School of Science,Southern Yangtze University

出　　处：《Chinese Physics B》2008年第10期3542-3548,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 10372053)

摘　　要：Based on the definition of higher-order adiabatic invariants of a mechanical system, a new type of adiabatic invariants, i.e. generalized Lutzky adiabatic invariants, of a disturbed holonomic nonconservative mechanical system are obtained by investigating the perturbation of Lie symmetries for a holonomic nonconservative mechanical system with the action of small disturbance. The adiabatic invariants and the exact invariants of the Lutzky type of some special cases, for example, the Lie point symmetrical transformations, the special Lie symmetrical transformations, and the Lagrange system, are given. And an example is given to illustrate the application of the method and results.Based on the definition of higher-order adiabatic invariants of a mechanical system, a new type of adiabatic invariants, i.e. generalized Lutzky adiabatic invariants, of a disturbed holonomic nonconservative mechanical system are obtained by investigating the perturbation of Lie symmetries for a holonomic nonconservative mechanical system with the action of small disturbance. The adiabatic invariants and the exact invariants of the Lutzky type of some special cases, for example, the Lie point symmetrical transformations, the special Lie symmetrical transformations, and the Lagrange system, are given. And an example is given to illustrate the application of the method and results.

关 键 词：analytical mechanics disturbed holonomic nonconservative system Lie symmetrical perturbation adiabatic invariant of Lutzky type 

分 类 号：O316[理学—一般力学与力学基础]