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dc.contributor.authorGasull Embid, Armengol
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationGasull, A., Mañosa, V. "Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem". 2018.
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.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.rights.accessOpen Access
upcommons.citation.authorGasull, A., Mañosa, V.

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