One-dimensional and two-dimensional dynamics of cubic maps
We concentrate on the dynamics of one-dimensional and two-dimensional cubic maps, it describes how complex behaviors can possibly arise as a system parameter changes. This is a large class of diffeomorphisms which provide a good starting point for understanding polynomial diffeomorphisms with consta...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/15840 |
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| _version_ | 1849405403776942080 |
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| author | Djellit Ilhem Kara Amel |
| author_facet | Djellit Ilhem Kara Amel |
| author_sort | Djellit Ilhem |
| collection | DOAJ |
| description | We concentrate on the dynamics of one-dimensional and two-dimensional cubic maps, it describes how complex behaviors can possibly arise as a system parameter changes. This is a large class of diffeomorphisms which provide a good starting point for understanding polynomial diffeomorphisms with constant Jacobian and equivalent to a composition of generalized Hénon maps. Due to the theoretical and practical difficulties involved in the study, computers will presumably play a role in such efforts. |
| format | Article |
| id | doaj-art-4e7d132d8b1643cebaa8917afc48e98b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4e7d132d8b1643cebaa8917afc48e98b2025-08-20T03:36:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/1584015840One-dimensional and two-dimensional dynamics of cubic mapsDjellit Ilhem0Kara Amel1Department of Mathematics, University of Annaba, Annaba BP 12 23000, AlgeriaDepartment of Physics, University of Sétif, Sétif 19000, AlgeriaWe concentrate on the dynamics of one-dimensional and two-dimensional cubic maps, it describes how complex behaviors can possibly arise as a system parameter changes. This is a large class of diffeomorphisms which provide a good starting point for understanding polynomial diffeomorphisms with constant Jacobian and equivalent to a composition of generalized Hénon maps. Due to the theoretical and practical difficulties involved in the study, computers will presumably play a role in such efforts.http://dx.doi.org/10.1155/DDNS/2006/15840 |
| spellingShingle | Djellit Ilhem Kara Amel One-dimensional and two-dimensional dynamics of cubic maps Discrete Dynamics in Nature and Society |
| title | One-dimensional and two-dimensional dynamics of cubic maps |
| title_full | One-dimensional and two-dimensional dynamics of cubic maps |
| title_fullStr | One-dimensional and two-dimensional dynamics of cubic maps |
| title_full_unstemmed | One-dimensional and two-dimensional dynamics of cubic maps |
| title_short | One-dimensional and two-dimensional dynamics of cubic maps |
| title_sort | one dimensional and two dimensional dynamics of cubic maps |
| url | http://dx.doi.org/10.1155/DDNS/2006/15840 |
| work_keys_str_mv | AT djellitilhem onedimensionalandtwodimensionaldynamicsofcubicmaps AT karaamel onedimensionalandtwodimensionaldynamicsofcubicmaps |