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On p-adic cubic generalized logistic dynamical system

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.

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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.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 8818/72746
Uncontrolled Keywords: Mechanics, Number theory, Quantum theory
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA300 Analysis
Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Kulliyyah of Science
Depositing User: Dr Wan Nur Fairuz Alwani Binti Wan Rozali
Date Deposited: 28 Jun 2019 15:41
Last Modified: 28 Jun 2019 15:41
URI: http://irep.iium.edu.my/id/eprint/72746

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