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/ 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

id	iium-72746
recordtype	eprints
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 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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ 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
first_indexed	2023-09-18T21:43:07Z
last_indexed	2023-09-18T21:43:07Z
_version_	1777413271918215168

On p-adic cubic generalized logistic dynamical system

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