研究了完整力学系统Tzénoff方程Mei对称性的共形不变性及其守恒量,首先建立了完整系统的Tzénoff方程,给出了完整系统Tzénoff方程的Mei对称性及其共形不变性的确定方程,得到了这种共形不变性产生守恒量的条件和导出守恒量的函数式,最后给出一个应用实例.
The aim of the paper is to research the conformal invariance and conserved quantity of Mei symmetry for Tzénoff equations in holonomic systems .Firstly, the Tzénoff equations of holonomic systems is established .Then, the determining equations of conformal invariance of Mei symmetry for Tz énoff equations in holonomic systems are given.The conditions and the functions of the conserved quantity which is deduced by conformal invariance are obtained.Finally, application of this new result is presented by a practical example .