【摘要】 研究广义非完整力学系统的Lie对称性与Noether守恒量,建立Lie对称性的确定方程、限制方程和附加限制方程,给出结构方程和Noether守恒量的形式,研究Lie对称性的逆问题,并举算例说明结果的应用.更多还原

【Abstract】 In this paper we study the Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems,and establish the determining equations,the restriction equations and the additional restriction equations. The structure equation and the form of Noether conserved quantities are obtained. The inverse problems of Lie symmetries are discussed and an example to illustrate the application of the result is given.更多还原