Perturbation to symmetries and Hojman adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints
Perturbation to symmetries and Hojman adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints作者机构：College of Physics Science and Technology China University of Petroleum Dongying 257061 China
出 版 物：《Chinese Physics B》 (中国物理B（英文版）)
年 卷 期：2007年第16卷第6期
页 面：1516-1520页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：nonholonomic controllable mechanical system symmetry perturbation adiabatic invariant
摘 要：This paper studies the perturbation to symmetries and adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints. It gives the exact invariants introduced by the Lie symmetries of the nonholonomic controllable mechanical system with non-Chetaev type constraints without perturbation. Based on the definition of high-order adiabatic invarlants of mechanical system, the perturbation of Lie symmetries for nonholonomic controllable mechanical system with non-Chetaev type constraints with the action of small disturbances is investigated, and a new type of adiabatic invariant of system are obtained. In the end of this paper, an example is given to illustrate the application of the results.
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