Attractors and commutation sets in Hénon-like diffeomorphisms

  • Wissame Selmani University Badji Mokhtar Annaba
  • Ilham Djellit University Badji Mokhtar
DOI: https://doi.org/10.5269/bspm.v36i4.31139

Resumo

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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Biografia do Autor

Wissame Selmani, University Badji Mokhtar Annaba
Laboratory of Mathematics, Dynamics and Modelization
Ilham Djellit, University Badji Mokhtar
Laboratory of Mathematics, Dynamics and modelization
Publicado
2018-10-01
Edição
v. 36 n. 4 (2018)
Seção
Artigos

Copyright (c) 2017 Boletim da Sociedade Paranaense de Matemática

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International 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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