Attractors and commutation sets in Hénon-like diffeomorphisms

  • Wissame Selmani University Badji Mokhtar Annaba
  • Ilham Djellit University Badji Mokhtar
Keywords: Attractors, Commutation sets, Heteroclinic and homoclinic bifurcations

Abstract

In this work we display Hénon-like attractors that emerge and appear in diffeomorphisms generated by embedding of one-dimensional endomorphisms. We show the properties of basin of attraction, and identify various types of attractors and commutation sets which are associated with these diffeomorphisms. Numerically presented scenarii of the creation and destruction of these attractors via bifurcations are illustrated.

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Author Biographies

Wissame Selmani, University Badji Mokhtar Annaba
Laboratory of Mathematics, Dynamics and Modelization
Ilham Djellit, University Badji Mokhtar
Laboratory of Mathematics, Dynamics and modelization
Published
2018-10-01
Section
Articles