KMS Of Academy of mathematics and systems sciences, CAS
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
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ISSN | 1009-1963 |
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 |
推荐引用方式 GB/T 7714 | 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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