Some Applications of Affine in Velocities Lagrangians in Two-dimensional Systems
Mathematical Physics
2022-11-28 v1 math.MP
Abstract
The 2-dimensional inverse problem for first-order systems is analysed and a method to construct an affine Lagrangian for such systems is developed. The determination of such Lagrangians is based on the theory of the Jacobi multiplier for the system of differential equations. We illustrate our analysis with several examples of families of forces that are relevant in mechanics, on one side, and of some relevant biological systems, on the other.
Keywords
Cite
@article{arxiv.2211.14264,
title = {Some Applications of Affine in Velocities Lagrangians in Two-dimensional Systems},
author = {José F. Cariñena and José Fernández-Núñez},
journal= {arXiv preprint arXiv:2211.14264},
year = {2022}
}
Comments
To appear in Symmetry, Special Issue: "Symmetry/Asymmetry: Feature Review Papers"