非完整约束力学系统的Lie对称性与守恒量

The Lie symmetries and conservative laws of the nonholonomic systems

研究受Chetaev型非完整约束和非Chetaev型非完整约束的力学系统的Lie对称性与守恒量 .首先应用微分方程在无限小变换下的不变性分别建立Chetaev系统和非Chetaev系统Lie对称性所满足的确定方程和限制方程 。

Considers the Lie symmetries and conservative laws of the nonholonomic mechanical systems with Chetaev's type or non Chetaev's type constraints:Here we apply the invariance of the differential equation under the infinitesimal transformation,to establish the determining equation and the restriction equation of the nonholonomic mechanical systems with Chetaev's type or non Chetaev's type constraints,Given the instruction equation and finding the conserved quantity.