Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems
文献类型:期刊论文
作者 | Zheng, SW; Tang, YF; Fu, JL |
刊名 | CHINESE PHYSICS
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出版日期 | 2006-02-01 |
卷号 | 15期号:2页码:243-248 |
关键词 | conserved quantity non-Noether symmetry nonholonomic nonconservative system infinitesimal transformation |
ISSN号 | 1009-1963 |
英文摘要 | Non-Noether symmetries and conservative quantities of nonholonomic nonconservative dynamical systems are investigated in this paper. Based on the relationships among motion, nonconservative forces, nonholonomic constrained forces and Lagrangian, non-Noether symmetries and Lutzky conservative quantities are presented for nonholonomic nonconservative dynamical systems. The relation between non-Noether symmetry and Noether symmetry is discussed and it is further shown that non-Noether conservative quantities can be obtained by a complete set of Noether invariants. Finally, an example is given to illustrate these results. |
WOS研究方向 | Physics |
语种 | 英语 |
WOS记录号 | WOS:000235228300001 |
出版者 | CHINESE PHYSICAL SOC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3158] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Fu, JL |
作者单位 | 1.Shangqiu Teachers Coll, Dept Phys, Shangqiu 476000, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 3.Zhejiang Sci & Technol Univ, Dept Phys, Hangzhou 310018, Peoples R China 4.Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China |
推荐引用方式 GB/T 7714 | Zheng, SW,Tang, YF,Fu, JL. Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems[J]. CHINESE PHYSICS,2006,15(2):243-248. |
APA | Zheng, SW,Tang, YF,&Fu, JL.(2006).Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems.CHINESE PHYSICS,15(2),243-248. |
MLA | Zheng, SW,et al."Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems".CHINESE PHYSICS 15.2(2006):243-248. |
入库方式: OAI收割
来源:数学与系统科学研究院
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