一类非完整系统运动微分方程的Lie对称性与Hojman型守恒量

Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems

研究一类非完整系统运动方程的Lie对称性与Hojman型守恒量.给出系统Lie对称性的确定方程和限制方程,存在守恒量的条件以及守恒量的形式.举例说明结果的应用.

The Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems are studied. The determining equations and the restriction equations of Lie symmetries of the system are obtained. The condition under which a conserved quantity exists is established and the form of the conserved quantity is given. An example is given to illustrate the application of the result.