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: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2018-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31139 |
| Summary: | 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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| ISSN: | 0037-8712 2175-1188 |