STABILITY ANALYSIS FOR ONE-DIMENSIONAL NONLINEAR DYNAMICAL SYSTEMS WITH MATHEMATICA

Salihi, Ylldrita and Rasimi, Krutan (2021) STABILITY ANALYSIS FOR ONE-DIMENSIONAL NONLINEAR DYNAMICAL SYSTEMS WITH MATHEMATICA. Journal of Natural Sciences and Mathematics of UT, 6 (11-12). pp. 144-152. ISSN 2671-3039

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Abstract

Stability, like one of the most important concepts in Discrete Dynamical Theory, can tell much about the behavior of the dynamical system. In this article a symbolic Mathematica package for analysis and control of chaos in discrete one dimensional dynamical nonlinear systems, is presented. There are constructed some computer codes to find stability types of the fixed points, covering the stability of the one-dimensional nonlinear dynamical systems. Applications are taken from chemical kinetics and population dynamics (logistic model). To get a better understanding of the dynamics involved, we analyze examples using the Cobweb diagram, Phase Portrait and Time Series solution coded for one dimensional nonlinear dynamical systems.

Item Type: Article
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Unnamed user with email zshi@unite.edu.mk
Date Deposited: 01 Sep 2021 11:32
Last Modified: 01 Sep 2021 11:32
URI: http://eprints.unite.edu.mk/id/eprint/730

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