Basin of attraction of triangular maps with applications

Anna Cima, Armengol Gasull, Víctor Mañosa

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

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. © 2014 © 2014 Taylor & Francis.
Original languageEnglish
Pages (from-to)423-437
JournalJournal of Difference Equations and Applications
Volume20
Issue number3
DOIs
Publication statusPublished - 1 Mar 2014

Keywords

  • attractors
  • difference equations
  • discrete dynamical systems
  • periodic solutions
  • quasi-homogeneous maps
  • triangular maps

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