Abstract Non-conservative forces are exerted on a Lagrange system. Their effects on Lie symmetries, structure equation and conserved quantities of the system are studied. It can be seen that some Lie symmetries disappear and some new Lie symmetries emerge. Under certain conditions, some Lie symmetries will still remain present.
Received: 18 May 2000
Revised: 30 June 2000
Accepted manuscript online:
PACS:
45.20.Jj
(Lagrangian and Hamiltonian mechanics)
Fund: Project supported by the National Natural Science Foundation(19972010) and the Doctoral Programme Foundation of Institution of Higher Education of China.
Cite this article:
Zhang Rui-chao (张睿超), Chen Xiang-wei (陈向炜), Mei Feng-xiang (梅凤翔) EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM 2000 Chinese Physics 9 801
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