约束力学系统的Noether对称性及其应用

Application of Noether Symmetry and Formal Invariability of Constrained Mechanical System

以圆盘在粗糙水平面上的滚动为例,将相空间中准坐标下约束力学系统的Noether对称性引入动力学,在非完整约束条件下导出了Noether对称变换的守恒量.

Taking disc rolling on a rough surface as example, Noether symmetries and form invariance of dynamical systems in phase space with quasi-coordinates are studied. The conservation quantity of Noether symmetry varying is given under constrained mechanical system .