Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms

Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms

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Several endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations. The invariants sets are stable manifolds of saddle type points or cycles, as well as closed curves issued from Hopf bifurcations. The present...

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Main Authors: Djellit Ilham, Fakroune Yamina, Selmani Wissame
Format: Article
Language:English
Published: Etamaths Publishing 2019-07-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1899
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spelling doaj-61602199f7eb4c38a0e704f9ce5b751c2021-08-26T13:44:39ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-07-01174517529386Bifurcations and Invariant Sets in a Class of Two-Dimensional EndomorphismsDjellit Ilham0Fakroune Yamina1Selmani Wissame2University Badji Mokhtar Faculty of Sciences Laboratory of Mathematics, Dynamics and Modelization 23000 Annaba - AlgeriaLaboratory of Mathematics, Dynamics & ModelizationLaboratory of Mathematics, Dynamics & ModelizationSeveral endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations. The invariants sets are stable manifolds of saddle type points or cycles, as well as closed curves issued from Hopf bifurcations. The present paper focuses some bifurcations related with attractors or basins which produce other attractors which coexist with invariant sets.http://etamaths.com/index.php/ijaa/article/view/1899
collection DOAJ
language English
format Article
sources DOAJ
author Djellit Ilham
Fakroune Yamina
Selmani Wissame
spellingShingle Djellit Ilham
Fakroune Yamina
Selmani Wissame
Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
International Journal of Analysis and Applications
author_facet Djellit Ilham
Fakroune Yamina
Selmani Wissame
author_sort Djellit Ilham
title Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
title_short Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
title_full Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
title_fullStr Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
title_full_unstemmed Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
title_sort bifurcations and invariant sets in a class of two-dimensional endomorphisms
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2019-07-01
description Several endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations. The invariants sets are stable manifolds of saddle type points or cycles, as well as closed curves issued from Hopf bifurcations. The present paper focuses some bifurcations related with attractors or basins which produce other attractors which coexist with invariant sets.
url http://etamaths.com/index.php/ijaa/article/view/1899
work_keys_str_mv AT djellitilham bifurcationsandinvariantsetsinaclassoftwodimensionalendomorphisms
AT fakrouneyamina bifurcationsandinvariantsetsinaclassoftwodimensionalendomorphisms
AT selmaniwissame bifurcationsandinvariantsetsinaclassoftwodimensionalendomorphisms
_version_ 1721193477124915200

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