摘要
研究了相对运动非完整动力学系统的共形不变性与守恒量,提出了该系统共形不变性的概念,推导出了相对运动非完整动力学系统的运动微分方程具有共形不变性并且是Lie对称性的充要条件,给出系统弱Lie对称性和强Lie对称性的共形不变性,借助规范函数满足的结构方程导出系统相应的守恒量,并给出应用算例。
Conformal invariance and conserved quantities for the non-holonomic dynamical system with relative motion are studied. The definition and the determining equation of the conformal invariance of non-holonomic dynamical system with relative motion are provided. The necessary and sufficient conditions that system~ conformal invariance is the Lie symmetry are deduced. The conformal invariance of the weak and strong Lie symmetry for the system is given. With the aid of a structure equation that gauge function satisfied, the system~ corresponding conserved quantity is obtained. Finally, an illustrative example is given to verify the results.
出处
《江南大学学报（自然科学版）》
CAS
2013年第2期234-238,共5页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金资助项目(11142014)
关键词
非完整系统
相对运动
共形不变性
守恒量
non-holonomic system, relative motion, conformal invariance, conserved quantity
