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: | , |
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Format: | Conference or Workshop Item |
Language: | English English |
Published: |
IOP Publishing Ltd
2013
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Subjects: | |
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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Summary: | 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. |
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