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dc.contributor.authorAlvarez-Ramírez, M.
dc.contributor.authorCorbera Subirana, Montserrat
dc.contributor.authorCors Iglesias, Josep Maria
dc.contributor.authorGarcía, A.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-07-18T10:41:26Z
dc.date.issued2017-12-01
dc.identifier.citationAlvarez-Ramírez, M., Corbera-Subirana, M., Cors, J., García, A. A note on a family of non-gravitational central force potentials in dimension one. "Applied mathematics letters", 1 Desembre 2017, vol. 74, p. 74-78.
dc.identifier.issn0893-9659
dc.identifier.urihttp://hdl.handle.net/2117/106571
dc.description.abstractIn this work, we study a one-parameter family of differential equations and the different scenarios that arise with the change of parameter. We remark that these are not bifurcations in the usual sense but a wider phenomenon related with changes of continuity or differentiability. We offer an alternative point of view for the study for the motion of a system of two particles which will always move in some fixed line, we take R for the position space. If we fix the center of mass at the origin, the system reduces to that of a single particle of unit mass in a central force field. We take the potential energy function U(x)=|x|ß, where x is the position of the single particle and ß is some positive real number.
dc.format.extent5 p.
dc.language.isoeng
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subjectÀrees temàtiques de la UPC::Enginyeria mecànica
dc.subject.lcshSingularities (Mathematics)
dc.subject.lcshCollisions (Physics)
dc.subject.lcshCelestial mechanics
dc.subject.otherCollisions
dc.subject.otherNon-gravitational interactions
dc.subject.otherSingularities
dc.titleA note on a family of non-gravitational central force potentials in dimension one
dc.typeArticle
dc.subject.lemacSingularitats (Matemàtica)
dc.subject.lemacCol·lisions (Física)
dc.subject.lemacMecànica celest
dc.identifier.doi10.1016/j.aml.2017.04.020
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0893965917301337
dc.rights.accessRestricted access - publisher's policy
drac.iddocument21120375
dc.description.versionPostprint (published version)
dc.date.lift2020-01-01
upcommons.citation.authorAlvarez-Ramírez, M., Corbera-Subirana, M., Cors, J., García, A.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameApplied mathematics letters
upcommons.citation.volume74
upcommons.citation.startingPage74
upcommons.citation.endingPage78


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Except where otherwise noted, content on this work is licensed under a Creative Commons license: Attribution-NonCommercial-NoDerivs 3.0 Spain