Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms
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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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1899 |
| _version_ | 1811286199464099840 |
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| author | Djellit Ilham Fakroune Yamina Selmani Wissame |
| author_facet | Djellit Ilham Fakroune Yamina Selmani Wissame |
| author_sort | Djellit Ilham |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T02:56:15Z |
| format | Article |
| id | doaj.art-ab3462fac1304417a543ba6b8534bf87 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-04-13T02:56:15Z |
| publishDate | 2019-07-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-ab3462fac1304417a543ba6b8534bf872022-12-22T03:05:40ZengEtamaths 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://www.etamaths.com/index.php/ijaa/article/view/1899 |
| spellingShingle | Djellit Ilham Fakroune Yamina Selmani Wissame Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms International Journal of Analysis and Applications |
| title | 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_short | Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms |
| title_sort | bifurcations and invariant sets in a class of two dimensional endomorphisms |
| url | http://www.etamaths.com/index.php/ijaa/article/view/1899 |
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