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Homoclinic bifurcations in the unfolding of the nilpotent singularity of codimension 4 in R4

dc.contributor.authorSánchez Casas, José Pablo 
dc.contributor.authorDrubi Vega, Fátima 
dc.contributor.authorIbáñez Mesa, Santiago Francisco 
dc.date.accessioned2021-06-15T11:32:34Z
dc.date.available2021-06-15T11:32:34Z
dc.date.issued2021
dc.identifier.citationCasas,Pablo S., Drubi, F.e Ibáñez,S. (2021) Homoclinic bifurcations in the unfolding of the nilpotent singularity of codimension 4 in R4. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 122-129). Oviedo : Universidad de Oviedo, Servicio de Publicaciones
dc.identifier.isbn978-84-18482-21-2
dc.identifier.urihttp://hdl.handle.net/10651/59068
dc.description.abstractThe rich variety of homoclinic phenomena exhibited by the limit family of any generic unfolding of a fourdimensional nilpotent singularity of codimension-four is discussed. Specifically, numerical techniques based on the Taylor integrator and the expansion of the invariant manifolds were designed for this family. A partial bifurcation diagram which includes, besides a suggestive catalogue of local bifurcations of equilibria, folds and period doublings of periodic orbits is also given. These results are certainly the first steps towards a much more ambitious goal: to achieve a general understanding of these codimension-four unfoldings.spa
dc.description.sponsorshipThe authors has been partially supported by the project MINECO-18-MTM2017-87697-P.
dc.format.extentp. 122-129spa
dc.language.isoengspa
dc.publisherServicio de Publicaciones de la Universidad de Oviedospa
dc.relation.ispartofProceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicadaspa
dc.rights© Los autores
dc.rights© 2021 Universidad de Oviedo
dc.rightsCC Reconocimiento - No comercial - Sin obras derivadas 3.0 España
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.titleHomoclinic bifurcations in the unfolding of the nilpotent singularity of codimension 4 in R4spa
dc.typeinfo:eu-repo/semantics/bookPartspa
dc.type.dcmitextspa
dc.relation.projectIDMINECO-18-MTM2017-87697-P
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess


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