Perturbation of Symmetries and Mei Adiabatic Invariants of Nonholonomic Systems with Servoconstraints
Perturbation of Symmetries and Mei Adiabatic Invariants of Nonholonomic Systems with Servoconstraints作者机构:Department of Physics Henan Institute of Education Zhengzhou 450014 China College of Physics Science and Technology China University of Petroleum Dongying 257061 China
出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))
年 卷 期:2008年第50卷第10期
页 面:855-860页
核心收录:
基 金:the Theoretical Physics (the Key Disciplines) Foundation of Henan Institute of Education
主 题:nonholonomic systems servoconstraints Mei symmetry perturbations adiabatic invariants
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.