Conformal invariance and Hojman conserved quantities of first order Lagrange systems

Conformal invariance and Hojman conserved quantities of first order Lagrange systems

Chen Xiang-Wei; Liu Chang; Mei Feng-Xiang

【期刊名称】《《中国物理：英文版》》 【年(卷),期】2008(017)009

【摘要】In this paper the conformal invaxiance by infinitesimal transformations of first order Lagrange systems is discussed in detail.The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given.Then it gets the Hojman conserved quantities of conformal invariance by the infinitesimal transformations.Finally an example is given to illustrate the application of the results. 【总页数】5页(3180-3184)

【关键词】first order Lagrange systems; infinitesimal transformation; conformal invariance; Hojman conserved quantities 【作者】Chen Xiang-Wei; Liu Chang; Mei Feng-Xiang

【作者单位】Department of Physics and Information Engineering Shangqiu Teachers College Shangqiu 476000 China; Department of Mechanics Faculty of Science Beljing Institute of Technology Beijing 100081 China 【正文语种】中文 【中图分类】O4

【相关文献】

1.Conformal Invariance of Higher-Order Lagrange Systems by Lie Point Transformation [J], HUANG Wei-Li; CAI Jian-Le

2.Discussion on Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems [J], WANG Peng; FANG Jian-Hui; WANG Xian-Ming

3.Fractional cyclic integrals and Routh equations of fractional Lagrange system with combined Caputo derivatives [J], Wang Lin-Li; Fu Jing-Li 4.Cooperatively surrounding control for multiple Euler-Lagrange systems subjected to uncertain dynamics and input constraints [J], Liang-Ming Chen; Yue-Yong Lv; Chuan-Jiang Li; Guang-Fu Ma

5.Methods of reduction for Lagrange systems on time scales with nabla derivatives [J], Shi-Xin Jin; Yi Zhang

以上内容为文献基本信息，获取文献全文请下载