On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces
Differential Geometry
2010-05-20 v1 Mathematical Physics
math.MP
Abstract
In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative forces were derived. We point out that these conditions are not independent and prove a stronger result accordingly.
Keywords
Cite
@article{arxiv.1003.1840,
title = {On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces},
author = {M. Crampin and T. Mestdag and W. Sarlet},
journal= {arXiv preprint arXiv:1003.1840},
year = {2010}
}
Comments
10 pages, accepted for publ in Z. Angew. Math. Mech.