Show simple item record

dc.contributor.authorGasull Embid, Armengol
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2018-10-22T10:50:55Z
dc.date.available2018-10-22T10:50:55Z
dc.date.issued2018-09-17
dc.identifier.citationGasull, A., Mañosa, V. "Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem". 2018.
dc.identifier.urihttp://hdl.handle.net/2117/122722
dc.descriptionPreprint
dc.description.abstractWe present a systematic methodology to determine and locate analytically isolated periodic points of discrete and continuous dynamical systems with algebraic nature. We apply this method to a wide range of examples, including a one-parameter family of counterexamples to the discrete Markus-Yamabe conjecture (La Salle conjecture); the study of the low periods of a Lotka-Volterra-type map; the existence of three limit cycles for a piece-wise linear planar vector field; a new counterexample of Kouchnirenko's conjecture; and an alternative proof of the existence of a class of symmetric central configuration of the $(1+4)$-body problem.
dc.format.extent26 p.
dc.language.isoeng
dc.relation.ispartofseriesarXiv:1809.06208v1 [math.DS]
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
dc.subject.lcshDifferentiable dynamical systems
dc.subject.otherPeriodic orbits
dc.subject.otherPoincaré-Miranda Theorem
dc.subject.otherDiscrete and continuous dynamical systems
dc.subject.otherLotka-Volterra maps
dc.subject.otherThue-Morse maps
dc.subject.otherDiscrete Markus-Yamabe conjecture
dc.subject.otherKouchnirenko’s conjecture
dc.subject.otherLimit cycles
dc.subject.otherPlanar piecewise linear systems
dc.subject.otherCentral configurations
dc.titlePeriodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem
dc.typeExternal research report
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
dc.subject.amsClassificació AMS::39 Difference and functional equations::39A Difference equations
dc.relation.publisherversionhttps://arxiv.org/abs/1809.06208
dc.rights.accessOpen Access
drac.iddocument23344941
dc.description.versionPreprint
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO/1PE/DPI2016-77407-P
upcommons.citation.authorGasull, A., Mañosa, V.
upcommons.citation.publishedtrue


Files in this item

Thumbnail

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