摘要
研究二阶线性单面非完整系统的 Lie对称性与守恒量 .利用运动微分方程在无限小变换下的不变性 ,建立 Lie对称性所满足的确定方程和限制方程 ,给出了结构方程和守恒量 ,讨论了二阶线性单面非完整系统的 Lie对称性逆问题 。
Lie symmetries and conserved quantities of second order linear nonholonomic system with unilateral constraints are studied in the paper.Firstly,by using the invarance of the ordinary differential equations under the infinitesimal transformations the determining equations and the restriction equations of the Lie symmetries of the systems are establised,and the structure equations and the conserved quantities are given.Secondly,the inverse problem of Lie symmetries of second order linear nonholonomic systems with unilateral constraints was studied.Finally,an example to illustrate the application of the result was given.
出处
《科技通报》
2000年第4期260-264,共5页
Bulletin of Science and Technology
基金
高校博士学科点专项基金资助项目
关键词
单面约束
非完整系统
LIE对称性
守恒量
线性
analytical mechanics
unilateral constraint
nonholonomic system
Lie symmetry
conserved quantity
