Variational symmetries of Lagrangians

Authors

  • G.F. Torres del Castillo
  • C. Andrade Mirón
  • R.I. Bravo Rojas

Keywords:

Lagrangians, symmetries, constants of motion, ordinary differential equations

Abstract

We present an elementary derivation of the equation for the infinitesimal generators of variational symmetries of a Lagrangian for a system with a finite number of degrees of freedom. We also give a simple proof of the existence of an infinite number of Lagrangians for a given second-order ordinary differential equation.

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Published

2013-01-01

How to Cite

[1]
G. Torres del Castillo, C. Andrade Mirón, and R. Bravo Rojas, “Variational symmetries of Lagrangians”, Rev. Mex. Fis. E, vol. 59, no. 2 Jul-Dec, pp. 140–147, Jan. 2013.

Issue

Vol. 59 No. 2 Jul-Dec (2013): Revista Mexicana de Física E

Section

Artículos

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