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dc.contributor.authorCariñena Marzo, José Fernando
dc.contributor.authorMartínez Fernandez, Eduardo
dc.contributor.authorMuñoz Lecanda, Miguel Carlos
dc.date.accessioned2023-06-13T11:44:37Z
dc.date.issued2023-04-12
dc.identifier.citationCariñena, J.F.; Martínez, E.; Muñoz-Lecanda, M.C. Sundman transformation and alternative tangent structures. "Journal of physics. A, Mathematical and theoretical", 12 Abril 2023, vol. 56, núm. 18, article 185202.
dc.identifier.issn1751-8121
dc.identifier.otherhttps://arxiv.org/pdf/2304.00284.pdf
dc.identifier.urihttp://hdl.handle.net/2117/388574
dc.description.abstractA 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.
dc.language.isoeng
dc.publisherInstitute of Physics (IOP)
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject.lcshDifferential equations
dc.subject.otherSundman transformation
dc.subject.otherTangent bundle
dc.subject.otherRegularisation
dc.titleSundman transformation and alternative tangent structures
dc.typeArticle
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.identifier.doi10.1088/1751-8121/acc913
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://iopscience.iop.org/article/10.1088/1751-8121/acc913
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac35731313
dc.description.versionPostprint (author's final draft)
dc.date.lift2024-04-12
local.citation.authorCariñena, J.F.; Martínez, E.; Muñoz-Lecanda, Miguel C.
local.citation.publicationNameJournal of physics. A, Mathematical and theoretical
local.citation.volume56
local.citation.number18, article 185202


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