Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems

Lie symmetries and conserved quantities of controllable nonholonomic dynamical systems

傅景礼; 陈立群; 白景华; 杨晓东

【期刊名称】《《中国物理：英文版》》 【年(卷),期】2003(012)009

【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. 【总页数】5页(P.695-699)

【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 【作者】傅景礼; 陈立群; 白景华; 杨晓东

【作者单位】InstituteofMathematicalMechanicsandMathematicalPhysics Shangqiu!reachersCollege

Shangqiu476000

China;

ShanghaiInstituteofAppliedMathematicsandMechanics

ShanghaiUniversity Shanghai200072 China; DepartmentofMathematics KaifengUniversity Kaifeng475000 China 【正文语种】中文

【中图分类】O316 【相关文献】 1.Lie

symmetries

and

conserved

quantities

of

controllable

nonholonomic dynamical systems [J], 傅景礼; 陈立群; 白景华; 杨晓东 2.Mei Symmetries and Lie Symmetries for Nonholonomic Controllable Mechanical Systems with Relativistic Rotational Variable Mass [J], XIA Li-Li; LI Yuan-Cheng; WANG Xian-Jun

3.Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints [J], Wang Xiao-Xiao; Han Yue-Lin; Zhang Mei-Ling; Jia Li-Qun

4.Lie Symmetry and Conserved Quantities for Nonholonomic Vacco Dynamical Systems [J], DING Ning; FANG Jian-Hui

5.Lie Symmetry and Generalized Mei Conserved Quantity for Nonconservative Dynamical System [J], JING Hong-Xing; LI Yuan-Cheng

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