Basin of attraction of triangular maps with applications
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 Matemàtica Aplicada III)

Date:	2014
Abstract:	We consider planar triangular maps xn+1 = f0(un) + f1(un)xn, un+1 = φ(un). These maps preserve the fibration of the plane given by F = {φ(u) = c, c ∈ Image(φ)}. We assume that there exists an invariant attracting fiber {u = u∗} for the dynamical system generated by φ and we study the limit dynamics of those points in the basin of attraction of this invariant fiber, assuming that either it contains a global attractor, or it is filled by fixed or 2-periodic points. We apply our results to several examples.
Grants:	Ministerio de Ciencia e Innovación MTM 2008-03437 Ministerio de Ciencia e Innovación DPI2011-25822
Note:	Best Paper 2014 in JDEA
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Attractors ; Difference equations ; Periodic solutions ; Quasi-homogeneous maps ; Triangular maps
Published in:	Journal of Difference Equations and Applications, Vol. 20 Núm. 3 (2014) , p. 423-437, ISSN 1563-5120

DOI: 10.1080/10236198.2013.852187

Postprint 17 p, 467.5 KB

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