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dc.contributor.authorGardini, Laura
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.authorSushko, Iryna
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2018-04-30T11:13:28Z
dc.date.available2018-04-30T11:13:28Z
dc.date.issued2018-04-18
dc.identifier.citationGardini, L., Mañosa, V., Sushko, I. "A route to chaos in the Boros-Moll map". 2018.
dc.identifier.urihttp://hdl.handle.net/2117/116829
dc.descriptionPreprint
dc.description.abstractThe Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter family of maps which unfolds the Boros-Moll one, showing that the existence of an unbounded invariant chaotic region in the Boros-Moll map is a peculiar feature within the family. We relate this singularity with a specific property of the critical lines that occurs only for this special case. In particular, we explain how the unbounded chaotic region in the Boros-Moll map appears. Special attention is devoted to explain the main contact/homoclinic bifurcations that occur in the family. We also report some other bifurcation phenomena that appear in the considered unfolding.
dc.format.extent20 p.
dc.language.isoeng
dc.relation.ispartofseriesarXiv:1804.06587 [nlin.CD]
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
dc.subject.lcshDifferentiable dynamical systems
dc.subject.lcshChaotic behavior in system
dc.subject.otherAttractors
dc.subject.otherbifurcations
dc.subject.otherBoros-Moll map
dc.subject.otherchaos
dc.subject.otherLanden transformations
dc.subject.otherperiodic orbits.
dc.titleA route to chaos in the Boros-Moll map
dc.typeExternal research report
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacCaos (Teoria de sistemes)
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
dc.relation.publisherversionhttps://arxiv.org/abs/1804.06587
dc.rights.accessOpen Access
local.identifier.drac22330763
dc.description.versionPreprint
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/DPI2016-77407-P
local.citation.authorGardini, L.; Mañosa, V.; Sushko, I.


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