Adiabatic invariants of generalized Lutzky type for disturbed holonomic nonconservative systems

• 来源期刊: 中国物理B（英文版）
• 关键词: analytical mechanics disturbed holonomic nonconservative system Lie symmetrical perturbation adiabatic invariant of Lutzky type
• 年，卷（期）: 2008,（10）
• 页码范围: 3542-3548
• 页数: 7页
• 语种: 英文

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 invaxiants 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.