Symmetries and Mei Conserved Quantities of Nonholonomic Controllable Mechanical Systems

• 作 者: XIA Li-Li LI Yuan-Cheng WANG J
• 机 构: College of Physics Science and Technology
• 出 处: 理论物理通讯（英文版）
• 发表日期: 2004年期
• 关键词: control nonholonomic mechanical system Mei symmetry Noether symmetry Lie symmetr
• 基金项目: the Graduate Student’s Innovative Foundation of China University of Petroleum (East China)

This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The conditions and the forms of the Mei conserved quantities deduced from these three symmetries are obtained. An example is given to illustrate the application of the result.