Home > Articles > Published articles > Basin of attraction of triangular maps with applications |
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 |
Postprint 17 p, 467.5 KB |