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THE GEOMETRIZATION OF LAGRANGE DYNAMICAL SYSTEMS


VALER NIMINEÅ¢, 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:

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