Sundman transformation and alternative tangent structures
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hdl:2117/388574
Document typeArticle
Defense date2023-04-12
PublisherInstitute of Physics (IOP)
Rights accessRestricted access - publisher's policy
(embargoed until 2024-04-12)
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Abstract
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.
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.
ISSN1751-8121
Publisher versionhttps://iopscience.iop.org/article/10.1088/1751-8121/acc913
Other identifiershttps://arxiv.org/pdf/2304.00284.pdf
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