变质量Chetaev型非完整系统的共形不变性

黄卫立; 蔡建乐

doi:10.3879/j.issn.1000-0887.2012.11.005

变质量Chetaev型非完整系统的共形不变性

doi: 10.3879/j.issn.1000-0887.2012.11.005

黄卫立^1,2,,
蔡建乐²

湖南城市学院通信与电子工程学院, 湖南益阳 413000;

基金项目: 国家自然科学基金资助课题（10932002）;浙江省自然科学基金资助课题（LY12A02008）

详细信息

通讯作者:
黄卫立(1959—), 男,湖南益阳人,副教授(E-mail: amuu@163.com);蔡建乐, 教授(联系人. E-mail: caijianle@yahoo.com.cn).

中图分类号: O316；O302；O313.6
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- 文章访问数: 1983
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- PDF下载量: 1151
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出版历程
- 收稿日期: 2012-03-21
- 修回日期: 2012-06-21
- 刊出日期: 2012-11-15

Conformal Invariance for the Nonholonomic System of Chetaev’s Type With Variable Mass

HUANG Wei-li^{1,2
,},
CAI Jian-le²

¹Department of Physics and Telecom Engineering, Hunan City University, Yiyang, Hunan 413000, P.R.China;²College of Science, Hangzhou Normal University, Hangzhou 310018, P.R.China

摘要

摘要: 研究变质量Chetaev型非完整系统的共形不变性与守恒量．推导共形因子表达式，得到系统共形不变性同时是Lie对称性的充要条件，给出系统弱Lie对称性和强Lie对称性的共形不变性，导出系统相应的守恒量，并举例说明结果的应用．
- 非完整系统 /
- 变质量 /
- 共形不变性 /
- 守恒量
Abstract: Conformal invariance and conserved quantities for the nonholonomic system of Chetaev’s type with variable mass were studied. The conformal factor expressions were deduced. The necessary and sufficient conditions that the system’s conformal invariance would be Lie symmetry were obtained. The conformal invariance of weak and strong Lie symmetry for the system was given. And the system’s corresponding conserved quantities were derived. Lastly, an example was taken to illustrate the application of the result.
- nonholonomic system /
- variable mass /
- conformal invariance /
- conserved quantity

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参考文献(39)

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变质量Chetaev型非完整系统的共形不变性

doi: 10.3879/j.issn.1000-0887.2012.11.005

通讯作者:
黄卫立(1959—), 男,湖南益阳人,副教授(E-mail: amuu@163.com);蔡建乐, 教授(联系人. E-mail: caijianle@yahoo.com.cn).

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Conformal Invariance for the Nonholonomic System of Chetaev’s Type With Variable Mass

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留言板

变质量Chetaev型非完整系统的共形不变性

doi: 10.3879/j.issn.1000-0887.2012.11.005

通讯作者: 黄卫立(1959—), 男,湖南益阳人,副教授(E-mail: amuu@163.com);蔡建乐, 教授(联系人. E-mail: caijianle@yahoo.com.cn).

计量

出版历程

Conformal Invariance for the Nonholonomic System of Chetaev’s Type With Variable Mass

计量

出版历程

目录

通讯作者:
黄卫立(1959—), 男,湖南益阳人,副教授(E-mail: amuu@163.com);蔡建乐, 教授(联系人. E-mail: caijianle@yahoo.com.cn).