Effects of non-conservative forces on Lie symmetries and conserved quantities of a Lagrange system

Citation
Rc. Zhang et al., Effects of non-conservative forces on Lie symmetries and conserved quantities of a Lagrange system, CHIN PHYS, 9(11), 2000, pp. 801-804
Citations number
13
Categorie Soggetti
Physics
Journal title
CHINESE PHYSICS
ISSN journal
10091963 → ACNP
Volume
9
Issue
11
Year of publication
2000
Pages
801 - 804
Database
ISI
SICI code
1009-1963(200011)9:11<801:EONFOL>2.0.ZU;2-B
Abstract
Non-conservative forces are exerted on a Lagrange system. Their effects on Lie symmetries, structure equation and conserved quantities of the system a re studied. It can be seen that some Lie symmetries disappear and some new Lie symmetries emerge. Under certain conditions, some Lie symmetries will s till remain present.