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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...

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Main Authors: Mukhamedov, Farrukh, Wan Rozali, Wan Nur Fairuz Alwani
Format: Conference or Workshop Item
Language:English
English
Published: IOP Publishing Ltd 2013
Subjects:
QA Mathematics
QA300 Analysis
QC Physics
Online Access: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
http://irep.iium.edu.my/72746/
https://iopscience.iop.org/article/10.1088/1742-6596/435/1/012012/pdf
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spelling my.iium.irep.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 Conference or Workshop Item 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
English
topic QA Mathematics
QA300 Analysis
QC Physics
spellingShingle QA Mathematics
QA300 Analysis
QC Physics
Mukhamedov, Farrukh
Wan Rozali, Wan Nur Fairuz Alwani
On 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−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.
format Conference or Workshop Item
author Mukhamedov, Farrukh
Wan Rozali, Wan Nur Fairuz Alwani
author_facet Mukhamedov, Farrukh
Wan Rozali, Wan Nur Fairuz Alwani
author_sort Mukhamedov, Farrukh
title On p-adic cubic generalized logistic dynamical system
title_short 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_sort on p-adic cubic generalized logistic dynamical system
publisher IOP Publishing Ltd
publishDate 2013
url 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
http://irep.iium.edu.my/72746/
https://iopscience.iop.org/article/10.1088/1742-6596/435/1/012012/pdf
_version_ 1643620204956090368
score 13.211869

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