126450 20241125101149.0 doi 10.1088/1751-8121/acc913 sideral 133852 ART-2023-133852 eng Cariñena, J.F. Universidad de Zaragoza (orcid)0000-0003-4480-6535 Sundman transformation and alternative tangent structures 2023 Access copy available to the general public Unrestricted 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. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.0 2023 PHYSICS, MULTIDISCIPLINARY 48 / 112 = 0.429 2023 Q2 T2 PHYSICS, MATHEMATICAL 18 / 60 = 0.3 2023 Q2 T1 0.769 2023 Physics and Astronomy (miscellaneous) 2023 Q1 Modeling and Simulation 2023 Q2 Statistics and Probability 2023 Q2 Statistical and Nonlinear Physics 2023 Q2 Mathematical Physics 2023 Q2 4.1 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Martínez, Eduardo Universidad de Zaragoza (orcid)0000-0003-3270-5681 Muñoz-Lecanda, Miguel C. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 56, 18 (2023), 185202 [29 pp.] Journal of Physics A-Mathematical and Theoretical Journal of Physics A-Mathematical and Theoretical 1751-8113 360401 http://zaguan.unizar.es/record/126450/files/texto_completo.pdf Postprint 1397877 http://zaguan.unizar.es/record/126450/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:126450 articulos driver 2024-11-22-12:06:12 ARTICLE