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On a p-adic Cubic Generalized Logistic Dynamical System

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

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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-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.

Item Type: Article (Journal)
Additional Information: 5537/30082
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr. Farrukh Mukhamedov
Date Deposited: 27 Jun 2013 21:51
Last Modified: 27 Jun 2013 21:51
URI: http://irep.iium.edu.my/id/eprint/30082

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