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On p-adic generalized logistics dynamical systems

Mukhamedov, Farrukh and Wan Rozali, Wan Nur Fairuz Alwani (2011) On p-adic generalized logistics dynamical systems. In: 10th International Annual Symposium (UMTAS 2011), 11-13 July 2011, Kuala Terengganu, Terengganu, Malaysia.

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Abstract

In this paper we describe basin of attraction of p-adic dynamical system f(x) = ax(1-x2). Here we consider three major cases with respect to the parametera:|a|p< 1,|a|p=1 and |a|p>1. Attractors in the systems are being investigated to describe the trajectory and the behavior of the function. Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Item Type: Conference or Workshop Item (Lecture)
Additional Information: 5537/6522
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr. Farrukh Mukhamedov
Date Deposited: 25 Nov 2011 11:18
Last Modified: 18 Sep 2012 15:07
URI: http://irep.iium.edu.my/id/eprint/6522

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