000112103 001__ 112103 000112103 005__ 20240319080955.0 000112103 0247_ $$2doi$$a10.1007/s44198-022-00037-w 000112103 0248_ $$2sideral$$a128069 000112103 037__ $$aART-2022-128069 000112103 041__ $$aeng 000112103 100__ $$0(orcid)0000-0003-4480-6535$$aCariñena, J. F.$$uUniversidad de Zaragoza 000112103 245__ $$aInfinitesimal Time Reparametrisation and Its Applications 000112103 260__ $$c2022 000112103 5060_ $$aAccess copy available to the general public$$fUnrestricted 000112103 5203_ $$aA geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by mechanical type Lagrangians. The Jacobi metric appears as a particular case of a Sundman transformation. © 2022, The Author(s). 000112103 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/PGC2018-098265-B-C33$$9info:eu-repo/grantAgreement/ES/MICINN/PGC2018-098265-B-C31$$9info:eu-repo/grantAgreement/ES/DGA/E48-20R 000112103 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/ 000112103 590__ $$a0.7$$b2022 000112103 592__ $$a0.308$$b2022 000112103 591__ $$aPHYSICS, MATHEMATICAL$$b51 / 56 = 0.911$$c2022$$dQ4$$eT3 000112103 593__ $$aStatistical and Nonlinear Physics$$c2022$$dQ3 000112103 591__ $$aMATHEMATICS, APPLIED$$b229 / 267 = 0.858$$c2022$$dQ4$$eT3 000112103 593__ $$aMathematical Physics$$c2022$$dQ3 000112103 594__ $$a1.9$$b2022 000112103 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000112103 700__ $$0(orcid)0000-0003-3270-5681$$aMartínez, E.$$uUniversidad de Zaragoza 000112103 700__ $$aMuñoz-Lecanda, M. C. 000112103 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000112103 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000112103 773__ $$g29 (2022), 523–555$$pJ. Nonlinear Math. Phys.$$tJOURNAL OF NONLINEAR MATHEMATICAL PHYSICS$$x1402-9251 000112103 8564_ $$s2208310$$uhttps://zaguan.unizar.es/record/112103/files/texto_completo.pdf$$yVersión publicada 000112103 8564_ $$s1055097$$uhttps://zaguan.unizar.es/record/112103/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000112103 909CO $$ooai:zaguan.unizar.es:112103$$particulos$$pdriver 000112103 951__ $$a2024-03-18-13:35:03 000112103 980__ $$aARTICLE