Show simple item record

dc.contributor.authorGardini, Laura
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.authorSushko, Iryna
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationGardini, L., Mañosa, V., Sushko, I. "A route to chaos in the Boros-Moll map". 2018.
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.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.otherBoros-Moll map
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.rights.accessOpen Access
local.citation.authorGardini, L.; Mañosa, V.; Sushko, I.

Files in this item


This item appears in the following Collection(s)

Show simple item record

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder