Attractors and commutation sets in Hénon-like diffeomorphisms
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 diffeomorphism...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2018-10-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31139 |
| _version_ | 1797633493465825280 |
|---|---|
| author | Wissame Selmani Ilham Djellit |
| author_facet | Wissame Selmani Ilham Djellit |
| author_sort | Wissame Selmani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T11:54:47Z |
| format | Article |
| id | doaj.art-66e775864f384720ad81426c537ea26c |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:47Z |
| publishDate | 2018-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-66e775864f384720ad81426c537ea26c2023-11-08T20:10:04ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-10-0136410.5269/bspm.v36i4.3113915683Attractors and commutation sets in Hénon-like diffeomorphismsWissame Selmani0Ilham Djellit1University Badji Mokhtar AnnabaUniversity Badji MokhtarIn 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.https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31139AttractorsCommutation setsHeteroclinic and homoclinic bifurcations |
| spellingShingle | Wissame Selmani Ilham Djellit Attractors and commutation sets in Hénon-like diffeomorphisms Boletim da Sociedade Paranaense de Matemática Attractors Commutation sets Heteroclinic and homoclinic bifurcations |
| title | Attractors and commutation sets in Hénon-like diffeomorphisms |
| title_full | Attractors and commutation sets in Hénon-like diffeomorphisms |
| title_fullStr | Attractors and commutation sets in Hénon-like diffeomorphisms |
| title_full_unstemmed | Attractors and commutation sets in Hénon-like diffeomorphisms |
| title_short | Attractors and commutation sets in Hénon-like diffeomorphisms |
| title_sort | attractors and commutation sets in henon like diffeomorphisms |
| topic | Attractors Commutation sets Heteroclinic and homoclinic bifurcations |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31139 |
| work_keys_str_mv | AT wissameselmani attractorsandcommutationsetsinhenonlikediffeomorphisms AT ilhamdjellit attractorsandcommutationsetsinhenonlikediffeomorphisms |