On p-adic cubic generalized logistic dynamical system
Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting investigations is p-adic logistics map. In this paper, we consider a new generalization, namely we study a dynamical system of the for...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
IOP Publishing Ltd
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/72746/ http://irep.iium.edu.my/72746/1/Mukhamedov_2013_J._Phys.__Conf._Ser._435_012012.pdf http://irep.iium.edu.my/72746/7/72746%20On%20a%20p-adic%20cubic%20generalized%20logistic%20dynamical%20system%20SCOPUS.pdf |
| _version_ | 1848787672624005120 |
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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 |
| building | IIUM Repository |
| collection | Online Access |
| description | Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting investigations is p-adic logistics map. In this paper, we consider a new generalization, namely we study a dynamical system of the form fa(x) = ax(1−x2). The paper is devoted to the investigation of
a trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a and we restrict ourselves for the investigation of the case |a|p < 1. We study the existence of the fixed points and their behavior. Moreover,wedescribetheirsizeofattractorsandSiegeldiscssincethestructureoftheorbitsofthesystem is related to the geometry of the p-adic Siegel discs. |
| first_indexed | 2025-11-14T17:28:39Z |
| format | Proceeding Paper |
| id | iium-72746 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:28:39Z |
| publishDate | 2013 |
| publisher | IOP Publishing Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-727462019-06-28T07:41:29Z http://irep.iium.edu.my/72746/ On p-adic cubic generalized logistic dynamical system Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani QA Mathematics QA300 Analysis QC Physics Applications of p-adic numbers mathematical physics, quantum mechanics stimulated increasing interest in the study of p-adic dynamical system. One of the interesting investigations is p-adic logistics map. In this paper, we consider a new generalization, namely we study a dynamical system of the form fa(x) = ax(1−x2). The paper is devoted to the investigation of a trajectory of the given system. We investigate the generalized logistic dynamical system with respect to parameter a and we restrict ourselves for the investigation of the case |a|p < 1. We study the existence of the fixed points and their behavior. Moreover,wedescribetheirsizeofattractorsandSiegeldiscssincethestructureoftheorbitsofthesystem is related to the geometry of the p-adic Siegel discs. IOP Publishing Ltd 2013-04-26 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/72746/1/Mukhamedov_2013_J._Phys.__Conf._Ser._435_012012.pdf application/pdf en http://irep.iium.edu.my/72746/7/72746%20On%20a%20p-adic%20cubic%20generalized%20logistic%20dynamical%20system%20SCOPUS.pdf Mukhamedov, Farrukh and Wan Rozali, Wan Nur Fairuz Alwani (2013) On p-adic cubic generalized logistic dynamical system. In: International Conference on Advancement in Science and Technology 2012 (iCAST): Contemporary Mathematics, Mathematical Physics and their Applications, 7th–10th November 2012, Kuantan, Pahang. https://iopscience.iop.org/article/10.1088/1742-6596/435/1/012012/pdf 10.1088/1742-6596/435/1/012012 |
| spellingShingle | QA Mathematics QA300 Analysis QC Physics Mukhamedov, Farrukh Wan Rozali, Wan Nur Fairuz Alwani On p-adic cubic generalized logistic dynamical system |
| title | On p-adic cubic generalized logistic dynamical system |
| title_full | On p-adic cubic generalized logistic dynamical system |
| title_fullStr | On p-adic cubic generalized logistic dynamical system |
| title_full_unstemmed | On p-adic cubic generalized logistic dynamical system |
| title_short | On p-adic cubic generalized logistic dynamical system |
| title_sort | on p-adic cubic generalized logistic dynamical system |
| topic | QA Mathematics QA300 Analysis QC Physics |
| url | http://irep.iium.edu.my/72746/ http://irep.iium.edu.my/72746/ http://irep.iium.edu.my/72746/ http://irep.iium.edu.my/72746/1/Mukhamedov_2013_J._Phys.__Conf._Ser._435_012012.pdf http://irep.iium.edu.my/72746/7/72746%20On%20a%20p-adic%20cubic%20generalized%20logistic%20dynamical%20system%20SCOPUS.pdf |