Sundman transformation and alternative tangent structures

Cariñena, J.F. (Universidad de Zaragoza) ; Martínez, Eduardo (Universidad de Zaragoza) ; Muñoz-Lecanda, Miguel C.

Resumen: 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.

Idioma: Inglés

DOI: 10.1088/1751-8121/acc913

Año: 2023

Publicado en: Journal of Physics A-Mathematical and Theoretical 56, 18 (2023), 185202 [29 pp.]
ISSN: 1751-8113

Factor impacto JCR: 2.0 (2023)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 48 / 112 = 0.429 (2023) - Q2 - T2
Categ. JCR: PHYSICS, MATHEMATICAL rank: 18 / 60 = 0.3 (2023) - Q2 - T1

Factor impacto CITESCORE: 4.1 - Mathematical Physics (Q1) - Statistics and Probability (Q1) - Physics and Astronomy (all) (Q2) - Modeling and Simulation (Q2) - Statistical and Nonlinear Physics (Q2)

Factor impacto SCIMAGO: 0.769 - Physics and Astronomy (miscellaneous) (Q1) - Modeling and Simulation (Q2) - Statistics and Probability (Q2) - Statistical and Nonlinear Physics (Q2) - Mathematical Physics (Q2)

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)