Perturbation of Symmetries and Mei Adiabatic Invariants of Nonholonomic Systems with Servoconstraints  

作　　者：XIA Li-Li LI Yuan-Cheng ZHAO Xian-Lin 

机构地区：[1]Department of Physics, Henan Institute of Education, Zhengzhou 450014, China [2]College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

出　　处：《Communications in Theoretical Physics》2008年第10期855-860,共6页理论物理通讯（英文版）

基　　金：the Theoretical Physics (the Key Disciplines) Foundation of Henan Institute of Education

摘　　要：The perturbation of symmetries and Mei adiabatic invariants of nonholonomic systems with servoconstraints are studied. The exact invariants in the form of Mei conserved quantities introduced by the Mei symmetry of nonholonomic systems with servoconstraints without perturbations are given. Based on the definition of higher-order adiabatic invariants of mechanical systems, the perturbation of Mei symmetries for nonholonomic .systems with servoconstraints under the action of small disturbance is investigated, and Mei adiabatic invatiants of the system are obtained. An example is given to illustrate the application of the results.

关 键 词：nonholonomic systems servoconstraints Mei symmetry PERTURBATIONS adiabatic invariants 

分 类 号：O55[理学—热学与物质分子运动论]