Velocity-dependent symmetries and conserved quantities of the constrained dynamical systems

• 来源期刊: 中国物理（英文版）
• 关键词: velocity-dependent symmetry Lie group determining equation non-Noether type conserved quantity
• 年，卷（期）: 2004,（3）
• 页码范围: 287-291
• 页数: 5页
• 语种: 英文

摘要

In this paper, we have exterided the theorem of the velocity-dependent symmetries to nonholonomic dynamical systems. Based on the infinitesimal transformations with respect to the coordinates, we establish the determining equations and restrictive equation of the velocity-dependent system before the structure equation is obtained. The direct and the inverse issues of the velocity-dependent symmetries for the nonholonomic dynamical system is studied and the non-Noether type conserved quantity is found as the result. Finally, we give an example to illustrate the conclusion.