On p-adic generalized logistics dynamical systems
In this paper we describe basin of attraction of p-adic dynamical system f(x) = ax(1-x2). Here we consider three major cases with respect to the parametera:|a|p< 1,|a|p=1 and |a|p>1. Attractors in the systems are being investigated to describe the trajectory and the behavior of the function. M...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English |
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2011
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| Online Access: | http://irep.iium.edu.my/6522/1/mffairuz-UMTAS-2011.pdf |
| _version_ | 1796875391055429632 |
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| author | Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani |
| author_facet | Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani |
| author_sort | Mukhamedov, Farrukh |
| collection | IIUM |
| description | In this paper we describe basin of attraction of p-adic dynamical system f(x) = ax(1-x2). Here we consider three major cases with respect to the parametera:|a|p< 1,|a|p=1 and |a|p>1. Attractors in the systems are being investigated to describe the trajectory and the behavior of the function. Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. |
| first_indexed | 2024-03-05T22:38:04Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:6522 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:38:04Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oai:generic.eprints.org:65222012-09-18T07:07:36Z http://irep.iium.edu.my/6522/ On p-adic generalized logistics dynamical systems Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani QA Mathematics In this paper we describe basin of attraction of p-adic dynamical system f(x) = ax(1-x2). Here we consider three major cases with respect to the parametera:|a|p< 1,|a|p=1 and |a|p>1. Attractors in the systems are being investigated to describe the trajectory and the behavior of the function. Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. 2011-07 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/6522/1/mffairuz-UMTAS-2011.pdf Mukhamedov, Farrukh and Wan Rozali, Wan Nur Fairuz Alwani (2011) On p-adic generalized logistics dynamical systems. In: 10th International Annual Symposium (UMTAS 2011), 11-13 July 2011, Kuala Terengganu, Terengganu, Malaysia. http://www.umt.edu.my/dokumen/UMTAS2011/MATH/Oral_MATHS/MO33_NURFAIRUZ.pdf |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani On p-adic generalized logistics dynamical systems |
| title | On p-adic generalized logistics dynamical systems |
| title_full | On p-adic generalized logistics dynamical systems |
| title_fullStr | On p-adic generalized logistics dynamical systems |
| title_full_unstemmed | On p-adic generalized logistics dynamical systems |
| title_short | On p-adic generalized logistics dynamical systems |
| title_sort | on p adic generalized logistics dynamical systems |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/6522/1/mffairuz-UMTAS-2011.pdf |
| work_keys_str_mv | AT mukhamedovfarrukh onpadicgeneralizedlogisticsdynamicalsystems AT wanrozaliwannurfairuzalwani onpadicgeneralizedlogisticsdynamicalsystems |