Bifurcation of 2-periodic orbits from non-hyperbolic fixed points

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Title:	Bifurcation of 2-periodic orbits from non-hyperbolic fixed points
Author:	Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
Abstract:	We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus. This new concept is useful in order to study the number of 2-periodic orbits that can bifurcate from the fixed point. As an application we study the 2-cyclicity of some natural families of polynomial maps.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències -Difference equations -Bifurcation theory -Bifurcation -Cyclicity -Non-hyperbolic fixed point -Two periodic points -Equacions en diferències -Bifurcació, Teoria de la -Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory -Classificació AMS::39 Difference and functional equations::39A Difference equations
Rights:	An error occurred on the license name. http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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