000126450 001__ 126450 000126450 005__ 20241125101149.0 000126450 0247_ $$2doi$$a10.1088/1751-8121/acc913 000126450 0248_ $$2sideral$$a133852 000126450 037__ $$aART-2023-133852 000126450 041__ $$aeng 000126450 100__ $$0(orcid)0000-0003-4480-6535$$aCariñena, J.F.$$uUniversidad de Zaragoza 000126450 245__ $$aSundman transformation and alternative tangent structures 000126450 260__ $$c2023 000126450 5060_ $$aAccess copy available to the general public$$fUnrestricted 000126450 5203_ $$aA 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. 000126450 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000126450 590__ $$a2.0$$b2023 000126450 592__ $$a0.769$$b2023 000126450 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b48 / 112 = 0.429$$c2023$$dQ2$$eT2 000126450 593__ $$aPhysics and Astronomy (miscellaneous)$$c2023$$dQ1 000126450 591__ $$aPHYSICS, MATHEMATICAL$$b18 / 60 = 0.3$$c2023$$dQ2$$eT1 000126450 593__ $$aModeling and Simulation$$c2023$$dQ2 000126450 593__ $$aStatistics and Probability$$c2023$$dQ2 000126450 593__ $$aStatistical and Nonlinear Physics$$c2023$$dQ2 000126450 593__ $$aMathematical Physics$$c2023$$dQ2 000126450 594__ $$a4.1$$b2023 000126450 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000126450 700__ $$0(orcid)0000-0003-3270-5681$$aMartínez, Eduardo$$uUniversidad de Zaragoza 000126450 700__ $$aMuñoz-Lecanda, Miguel C. 000126450 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000126450 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000126450 773__ $$g56, 18 (2023), 185202 [29 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113 000126450 8564_ $$s360401$$uhttps://zaguan.unizar.es/record/126450/files/texto_completo.pdf$$yPostprint 000126450 8564_ $$s1397877$$uhttps://zaguan.unizar.es/record/126450/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000126450 909CO $$ooai:zaguan.unizar.es:126450$$particulos$$pdriver 000126450 951__ $$a2024-11-22-12:06:12 000126450 980__ $$aARTICLE