Quick search
Go!

THE GEOMETRIZATION OF LAGRANGE DYNAMICAL SYSTEMS


VALER NIMINEŢ, OTILIA LUNGU
"Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărăşeşti 157, Bacău 600115, ROMANIA, email: valern@ub.ro; olungu@ub.ro

Issue:

SSRSMI, Number 1, Volume XX

Section:

Volume 20, Number 1

Abstract:

A mechanical system Q generated by a Lagrangian L(t, x, x' ) is considered, whose the evolution equations is described by the Euler-Lagrange equations (2.1.). The geometry of the dynamical system determined by Q is the geometry of a semispray whose integral curves are the evolution equations of Q. The theory is extended to Lagrangians of higher order.

Keywords:

dynamical system, semispray, Euler-Lagrange equations.

Code [ID]:

SSRSMI201001V20S01A0015 [0003180]

Full paper:

Download pdf


Copyright (c) 1995-2007 University of Bacu