变质量非完整力学系统的共形不变性

Conformal invariance for nonholonomic mechanical systems with variable mass

摘要: 研究变质量非完整力学系统在无限小变换下微分方程的共形不变性,提出了该系统共形不变性的概念,推导出变质量非完整力学系统运动微分方程具有共形不变性,同时又是Lie对称性的充分必要条件.

Abstract: The conformal invariance of the differencial equations for nonholonomic mechanical systems with variable mass by infinitesimal transformations is studied.The concept of the conformal invariance of the systems is proposed.It is derived that the clifferential equations have the conformal invariance.It is proved that the conditions of the conformal invariance are the necessary and sufficient conditions for Lie symmetry..