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arXiv · 2304.00284

Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures

José F. Cariñena·Eduardo Martínez·Miguel C. Muñoz-Lecanda
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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.

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José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda. 2023-04-01. Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures. https://doi.org/10.1088/1751-8121%2Facc913

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