Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems

• 来源期刊: 中国物理(英文版)
• 关键词: control nonholonornic dynamical systems Lie symmetry conserved law
• 年，卷（期）: 2003,（7）
• 页码范围: 695-699
• 页数: 5页
• 语种: 英文

摘要

This paper concentrates on studying the Lie symmetries and conserved quantities of controllable nonholonomicdynamical systems. Based on the infinitesimal transformation, we establish the Lie symmetric determining equationsand restrictive equations and give three definitions of Lie symmetries before the structure equations and conservedquantities of the Lie symmetries are obtained. Then we make a study of the inverse problems. Finally, an example ispresented for illustrating the results.