Helmholtz Conditions and Alternative Lagrangians: Study of an Integrable Henon-Heiles System

Author: Carinena J.F.   Ranada M.F.  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.38, Iss.7, 1999-07, pp. : 2049-2061

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Abstract

Some properties relating to the theory of constants of motion with the existence of alternative Lagrangians are given, and then the case of the harmonic oscillator is analyzed. The &epsis; = 1/3 Henon-Heiles system is studied as a deformation of the harmonic oscillator. Several different alternative Lagrangians compatible with this deformation are constructed.