Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures
Mathematical Physics
2023-04-04 v1 math.MP
Abstract
A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by means of the function defining the Sundman transformation is shown. Among other applications of such theory we study the linearisability of a system of second-order differential equations and in particular the simplest case of a second-order differential equation. The theory is illustrated with several examples.
Keywords
Cite
@article{arxiv.2304.00284,
title = {Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures},
author = {José F. Cariñena and Eduardo Martínez and Miguel C. Muñoz-Lecanda},
journal= {arXiv preprint arXiv:2304.00284},
year = {2023}
}