一般完整系统Appell方程的Mei对称性

Mei Symmetry for Appell Equation in General Holonomic Systems

研究一般完整系统Appell方程的Mei对称性和Mei守恒量.建立一般完整系统的Appell方程;在群的无限小变换下,给出一般完整系统Appell方程的Mei对称性的定义和判据;讨论一般完整系统Appell方程Mei对称性和Mei守恒量的研究方法;得到Mei对称性导致的Mei守恒量的存在条件以及Mei守恒量的表达式.

Mei symmetry and Mei conserved quantity of general holonomic systems are studied. Appell equations of a general holonomic mechanic system are established. The definition and the criterion of Mei symmetry of Appell equations under the infinitesimal transformations of groups are given. A research method between Mei symmetry and Mei conserved quantity is discussed for general holonomic systems. The existence condition and the expression of Mei conserved quantity which are deduced directly by Mei symmetry are obtained.