NONAUTONOMOUS SUBMERSIVE 2ND-ORDER DIFFERENTIAL-EQUATIONS AND LIE SYMMETRIES

Authors
DELEON M DEDIEGO DM
Citation
M. Deleon et Dm. Dediego, NONAUTONOMOUS SUBMERSIVE 2ND-ORDER DIFFERENTIAL-EQUATIONS AND LIE SYMMETRIES, International journal of theoretical physics, 33(8), 1994, pp. 1759-1781
Citations number
26
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
33
Issue
8
Year of publication
1994
Pages
1759 - 1781
Database
ISI
SICI code
0020-7748(1994)33:8<1759:NS2DAL>2.0.ZU;2-0
Abstract
We give necessary and sufficient conditions for a nonautonomous second -order differential equation to be submersive. An application to nonau tonomous Lagrangian systems is given: the existence of symmetries of t he Lagrangian permits us to prove that the Euler-Lagrange vector field is submersive and hence that the motion equations may be simplified. Our results extend to the nonautonomous case the previous ones obtaine d by Kossowski and Thompson.