| Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems |
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| 作者姓名： | 傅景礼 陈立群 白景华 杨晓东 |
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| 作者单位： | [1]InstituteofMathematicalMechanicsandMathematicalPhysics,Shangqiu!reachersCollege,Shangqiu476000,China [2]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China [3]DepartmentofMathematics,KaifengUniversity,Kaifeng475000,China |
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| 摘 要： | 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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| 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 |
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