Attractors and commutation sets in Hénon-like diffeomorphisms

Authors

  • Wissame Selmani University Badji Mokhtar Annaba
  • Ilham Djellit University Badji Mokhtar

DOI:

https://doi.org/10.5269/bspm.v36i4.31139

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.

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

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Published

2018-10-01

Issue

Vol. 36 No. 4 (2018)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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