Non-Noether symmetries and conserved quantities of the Lagrange mechano-electrical systems
Fu Jing-Li (傅景礼)ac, Chen Li-Qun (陈立群)bc, Liu Rong-Wan (刘荣万)cd
a Department of Applied Physics, Zhejiang University of Science, Hangzhou 310018, Chinab Department of Mechanics, Shanghai University, Shanghai 200072, China; c Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, Chinad Shaoguan University, Shaoguan 512005, China
Abstract This paper focuses on studying non-Noether symmetries and conserved quantities of Lagrange mechano-electrical dynamical systems. Based on the relationships between the motion and Lagrangian, we present conservation laws on non-Noether symmetries for Lagrange mechano-electrical dynamical systems. A criterion is obtained on which non-Noether symmetry leads to Noether symmetry of the systems. The work also gives connections between the non-Noether symmetries and Lie point symmetries, and further obtains Lie invariants to form a complete set of non-Noether conserved quantity. Finally, an example is discussed to illustrate these results.
Received: 25 February 2004
Revised: 08 May 2004
Accepted manuscript online:
PACS:
02.20.Qs
(General properties, structure, and representation of Lie groups)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10372053) and the Natural Science Foundation of Henan Province (Grant No 0311011400).
Cite this article:
Fu Jing-Li (傅景礼), Chen Li-Qun (陈立群), Liu Rong-Wan (刘荣万) Non-Noether symmetries and conserved quantities of the Lagrange mechano-electrical systems 2004 Chinese Physics 13 1784
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