Chetaev型非完整系统Nielsen方程Lie对称性导致的一种守恒量

摘要

This paper studied a type of conserved quantity deduced by the Lie symmetry for nonholonomic system with Chetaev-type of the Nielsen equation.Firstly,the determining equations of the Lie symmetry for nonholo-nomic system with Chetaev-type of the Nielsen equation were given under the infinitesimal transformation of groups.Secondly,the conditions of the existence of the type of conserved quantity of the system as well as its forms were obtained.And finally,an example was given to illustrate the application of the results.%研究Chetaev型非完整系统Nielsen方程Lie对称性导致的一种守恒量，给出无限小群变换下Chetaev型非完整系统Nielsen方程Lie对称性的确定方程，得到Chetaev型非完整系统Nielsen方程Lie对称性直接导致的一种守恒量及其存在条件，并举例说明结果应用。