Basin of attraction of triangular maps with applications

We consider planar triangular maps . These maps preserve the fibration of the plane given by . We assume that there exists an invariant attracting fibre for the dynamical system generated by φ, and we study the limit dynamics of those points in the basin of attraction of this invariant fibre, assumi...

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Bibliographic Details
Published in:Journal of difference equations and applications Vol. 20; no. 3; pp. 423 - 437
Main Authors: Cima, Anna, Gasull, Armengol, Mañosa, Víctor
Format: Journal Article Publication
Language:English
Published: Abingdon Taylor & Francis 04.03.2014
Taylor & Francis Ltd
Subjects:
39 Difference and functional equations
39A Difference equations
Attraction
Attractors
Basins
Classificació AMS
Combinatorics
Difference equations
Differential equations
discrete dynamical systems
Dynamic tests
Dynamical systems
Equacions diferencials i integrals
Equacions en diferències
Fibre
Invariants
Matemàtiques i estadística
periodic solutions
quasi-homogeneous maps
triangular maps
Àrees temàtiques de la UPC
ISSN:1023-6198, 1563-5120
Online Access:Get full text
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Summary:We consider planar triangular maps . These maps preserve the fibration of the plane given by . We assume that there exists an invariant attracting fibre for the dynamical system generated by φ, and we study the limit dynamics of those points in the basin of attraction of this invariant fibre, assuming that either it contains a global attractor or it is filled by fixed or two-periodic points. We apply our results to several examples.
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ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2013.852187