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Discrete variational principle and first integrals for Lagrange-Maxwell mechanico-electrical systems
Fu Jing-Li; Dai Gui-Dong; Jimenez, Salvador; Tang Yi-Fa
2007-03-01
发表期刊CHINESE PHYSICS
ISSN1009-1963
卷号16期号:3页码:570-577
摘要This paper presents a discrete variational principle and a method to build first-integrals for finite dimensional Lagrange-Maxwell mechanico-electrical systems with nonconservative forces and a dissipation function. The discrete variational principle and the corresponding Euler-Lagrange equations are derived from a discrete action associated to these systems. The first-integrals are obtained by introducing the infinitesimal transformation with respect to the generalized coordinates and electric quantities of the systems. This work also extends discrete Noether symmetries to mechanico-electrical dynamical systems. A practical example is presented to illustrate the results.
关键词discrete variational principle first integral mechanico-electrical systems
语种英语
WOS研究方向Physics
WOS类目Physics, Multidisciplinary
WOS记录号WOS:000244864500002
出版者IOP PUBLISHING LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/4559
专题中国科学院数学与系统科学研究院
通讯作者Fu Jing-Li
作者单位1.Zhejiang Sci Tech Univ, Dept Phys, Hangzhou 310018, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
3.Univ Politecn Madrid, ETSI Telecomun, Dept Matemat Aplicada TTII, E-28040 Madrid, Spain
4.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
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Fu Jing-Li,Dai Gui-Dong,Jimenez, Salvador,et al. Discrete variational principle and first integrals for Lagrange-Maxwell mechanico-electrical systems[J]. CHINESE PHYSICS,2007,16(3):570-577.
APA Fu Jing-Li,Dai Gui-Dong,Jimenez, Salvador,&Tang Yi-Fa.(2007).Discrete variational principle and first integrals for Lagrange-Maxwell mechanico-electrical systems.CHINESE PHYSICS,16(3),570-577.
MLA Fu Jing-Li,et al."Discrete variational principle and first integrals for Lagrange-Maxwell mechanico-electrical systems".CHINESE PHYSICS 16.3(2007):570-577.
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