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一类非完整系统运动微分方程的Lie对称性与Hojman型守恒量
Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems
【摘要】 研究一类非完整系统运动方程的Lie对称性与Hojman型守恒量.给出系统Lie对称性的确定方程和限制方程,存在守恒量的条件以及守恒量的形式.举例说明结果的应用.
【Abstract】 The Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems are studied.The determining equations and the restriction equations of Lie symmetries of the system are obtained.The condition under which a conserved quantity exists is established and the form of the conserved quantity is given.An example is given to illustrate the application of the result.
【关键词】 分析力学;
非完整系统;
对称性;
Hojman型守恒量;
【Key words】 analytical mechanics; nonholonomic system; symmetry; Hojman conserved quantity;
【Key words】 analytical mechanics; nonholonomic system; symmetry; Hojman conserved quantity;
【基金】 国家自然科学基金(批准号:10572021)资助的课题.~~
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2007年07期
- 【分类号】O316
- 【被引频次】2
- 【下载频次】58