Sundman transformation and alternative tangent structuresSundman transformation and alternative tangent structures
- Resource Type
- Working Paper
- Authors
- Cariñena, José F.; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.
- Source
- J. Phys. A: Math. Theor. 56 (2023)
- Subject
- Mathematical Physics
34A34, 37N05, 53C15, 70F16
- Language
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.