Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems中国物理：英文版论文
【题名】：Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems中国物理：英文版论文(Lie symmetries and conserved quantities of controllable nonholonomic dynamical systemsZhongGuoWuLi：YingWenBanLunWen) 【关键词】：控制 李对称 非完整动力学系统 分析力学 守恒规律 守恒量 【keywords】：KongZhi LiDuiCheng FeiWanZhengDongLiXueXiTong FenXiLiXue ShouHengGuiLv ShouHengLiang 【作者】：傅景礼,陈立群,白景华,杨晓东,      【来源】： 知识词典 【期刊名称】：中国物理：英文版(ZhongGuoWuLi：YingWenBan) 【国际标准刊号】：1009-1963        【国内统一刊号】：11-4407 【作者单位】：[1]InstituteofMathematicalMechanicsandMathematicalPhysics,Shangqiu!reachersCollege,Shangqiu476000,China [2]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China [3]DepartmentofMathematics,KaifengUniversity,Kaifeng475000,China([1]InstituteofMathematicalMechanicsandMathematicalPhysics,Shangqiu!reachersCollege,Shangqiu476000,China [2]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China [3]DepartmentofMathematics,KaifengUniversity,Kaifeng475000,China) 【分类号】：O316      【页码】：-695-699      【出版年】：2003.9         This paper concentrates on studying the Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems. Based on the infinitesimal transformation, we establish the Lie symmetric determining equations and restrictive equations and give three definitions of Lie symmetries before the structure equations and conserved quantities of the Lie symmetries are obtained. Then we make a study of the inverse problems. Finally, an example is presented for illustrating the results.
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