On a 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...
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2013
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| Online Access: | http://irep.iium.edu.my/30082/ http://irep.iium.edu.my/30082/ http://irep.iium.edu.my/30082/ http://irep.iium.edu.my/30082/1/mffa-JPCS%282013%29.pdf |
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iium-30082 |
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iium-300822013-06-27T13:51:17Z http://irep.iium.edu.my/30082/ On a p-adic Cubic Generalized Logistic Dynamical System Mukhamedov, Farrukh Rozali, Wan Nur Fairuz Alwani Wan QA Mathematics 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-x^2). 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 jajp < 1. We study the existence of the fixed points and their behavior. Moreover, we describe their size of attractors and Siegel discs since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30082/1/mffa-JPCS%282013%29.pdf Mukhamedov, Farrukh and Rozali, Wan Nur Fairuz Alwani Wan (2013) On a p-adic Cubic Generalized Logistic Dynamical System. Journal of Physics: Conference Series, 435. 012012. ISSN 1742-6588 http://dx.doi.org/10.1088/1742-6596/435/1/012012 doi:10.1088/1742-6596/435/1/012012 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Rozali, Wan Nur Fairuz Alwani Wan On a p-adic Cubic Generalized Logistic Dynamical System |
| 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-x^2). 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 jajp < 1. We study the existence of the fixed points and their behavior.
Moreover, we describe their size of attractors and Siegel discs since the structure of the orbits of the system
is related to the geometry of the p-adic Siegel discs. |
| format |
Article |
| author |
Mukhamedov, Farrukh Rozali, Wan Nur Fairuz Alwani Wan |
| author_facet |
Mukhamedov, Farrukh Rozali, Wan Nur Fairuz Alwani Wan |
| author_sort |
Mukhamedov, Farrukh |
| title |
On a p-adic Cubic Generalized Logistic Dynamical System |
| title_short |
On a p-adic Cubic Generalized Logistic Dynamical System |
| title_full |
On a p-adic Cubic Generalized Logistic Dynamical System |
| title_fullStr |
On a p-adic Cubic Generalized Logistic Dynamical System |
| title_full_unstemmed |
On a p-adic Cubic Generalized Logistic Dynamical System |
| title_sort |
on a p-adic cubic generalized logistic dynamical system |
| publishDate |
2013 |
| url |
http://irep.iium.edu.my/30082/ http://irep.iium.edu.my/30082/ http://irep.iium.edu.my/30082/ http://irep.iium.edu.my/30082/1/mffa-JPCS%282013%29.pdf |
| first_indexed |
2023-09-18T20:44:10Z |
| last_indexed |
2023-09-18T20:44:10Z |
| _version_ |
1777409563472953344 |