77272 20210121114446.0 doi 10.1063/1.4922509 sideral 91214 ART-2015-91214 eng (orcid)0000-0003-4480-6535 Cariñena, J. F. Universidad de Zaragoza Jacobi multipliers, non-local symmetries, and nonlinear oscillators 2015 Access copy available to the general public Unrestricted Constants of motion, Lagrangians and Hamiltonians admitted by a family of relevant nonlinear oscillators are derived using a geometric formalism. The theory of the Jacobi last multiplier allows us to find Lagrangian descriptions and constants of the motion. An application of the jet bundle formulation of symmetries of differential equations is presented in the second part of the paper. After a short review of the general formalism, the particular case of non-local symmetries is studied in detail by making use of an extended formalism. The theory is related to some results previously obtained by Krasil'shchi, Vinogradov and coworkers. Finally the existence of non-local symmetries for such two nonlinear oscillators is proved. info:eu-repo/grantAgreement/ES/DGA/E24-1 info:eu-repo/grantAgreement/ES/MICINN/MTM2011-15725-E info:eu-repo/grantAgreement/ES/MICINN/MTM2012-33575 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.234 2015 PHYSICS, MATHEMATICAL 25 / 53 = 0.472 2015 Q2 T2 0.792 2015 Statistical and Nonlinear Physics 2015 Q2 Mathematical Physics 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion De Lucas, J. (orcid)0000-0002-8402-2332 Rañada, M. F. Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 56, 6 (2015), 063505 J. math. phys. JOURNAL OF MATHEMATICAL PHYSICS 0022-2488 276773 http://zaguan.unizar.es/record/77272/files/texto_completo.pdf Postprint 96097 http://zaguan.unizar.es/record/77272/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:77272 articulos driver 2021-01-21-10:43:20 ARTICLE