用双参数李变换群积分一类非完整系统的运动方程

A Kind of Equations of Motion of Nonholonmic Systems Integrated Through the Use of a Two-Parameter Lie Group of Transformations

摘要: 研究了一类简单的非完整非自治系统，利用双参数李变换群，引进微分不变量、正则坐标的方法，对这类简单的非完整非自治系统的运动方程给以完全积分，为非完整系统的积分理论提供了一种新的方法。

Abstract: Studies a kind of simple nonholonomic and nonautonomous system using a two-parameter Lie group of transfor ations,with the introduction of the method of differential invariants and canonical coordinates.Such equations of motion of nonholonomic and nonautonomous systems are then solved,this a new method is introduced for the theory of integration of nonholonomic systems.