Basin of attraction of  triangular maps with applications

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/20131

Title:	Basin of attraction of triangular maps with applications
Author:	Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
Abstract:	Preprint
Abstract:	We consider some planar triangular maps. These maps preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber 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. Finally, we apply our results to a variety of examples, from particular cases of triangular systems to some planar quasi-homogeneous maps, and some multiplicative and additive difference equations, as well.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències -Difference equations -Attractors -Periodic Orbits -Triangular Maps -Discrete Dynamical Systems -Quasi-homogeneous Maps. -Equacions en diferències -Classificació AMS::39 Difference and functional equations::39A Difference equations
Rights:
Document type:	Article - Draft Report
Share: