dc.contributor.author |
Cimà, Anna |
dc.contributor.author |
Gasull, Armengol |
dc.contributor.author |
Mañosa Fernández, Víctor |
dc.date |
2014 |
dc.identifier |
https://ddd.uab.cat/record/150704 |
dc.identifier |
urn:10.1080/10236198.2013.852187 |
dc.identifier |
urn:oai:ddd.uab.cat:150704 |
dc.identifier |
urn:gsduab:3609 |
dc.identifier |
urn:scopus_id:84895903341 |
dc.identifier |
urn:wos_id:000337188800007 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/154ae675-f1e5-4612-ad91-d721bad3e989 |
dc.identifier |
urn:articleid:15635120v20n3p423 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Ciencia e Innovación MTM 2008-03437 |
dc.relation |
Ministerio de Ciencia e Innovación DPI2011-25822 |
dc.relation |
Journal of Difference Equations and Applications ; Vol. 20 Núm. 3 (2014), p. 423-437 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Attractors |
dc.subject |
Difference equations |
dc.subject |
Periodic solutions |
dc.subject |
Quasi-homogeneous maps |
dc.subject |
Triangular maps |
dc.title |
Basin of attraction of triangular maps with applications |
dc.type |
Article |
dc.description.abstract |
Best Paper 2014 in JDEA |
dc.description.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. |