Bifurcation of 2-periodic orbits from non-hyperbolic fixed points
Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)

Date:	2018
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.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-859
Note:	Agraïments: DPI2016-77407-P (AEI/FEDER, UE, third author).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bifurcation ; Cyclicity ; Non-hyperbolic fixed point ; Two periodic points
Published in:	Journal of mathematical analysis and applications, Vol. 457 (2018) , p. 568-584, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2017.08.029

Postprint 22 p, 333.2 KB

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