A Study of Chaos in Dynamical Systems

A Study of Chaos in Dynamical Systems

The behavior of systems such as periodicity, fixed points, and most importantly chaos has evolved as an integral part of mathematics, especially in dynamical system. This research presents a study on chaos as a property of nonlinear science. Systems with at least two of the following properties are...

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Main Authors: S. Effah-Poku, W. Obeng-Denteh, I. K. Dontwi
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2018/1808953
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spelling doaj-94165f06a1de44bebe455c59a04171622020-11-24T23:03:46ZengHindawi LimitedJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/18089531808953A Study of Chaos in Dynamical SystemsS. Effah-Poku0W. Obeng-Denteh1I. K. Dontwi2Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, GhanaDepartment of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, GhanaDepartment of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, GhanaThe behavior of systems such as periodicity, fixed points, and most importantly chaos has evolved as an integral part of mathematics, especially in dynamical system. This research presents a study on chaos as a property of nonlinear science. Systems with at least two of the following properties are considered to be chaotic in a certain sense: bifurcation and period doubling, period three, transitivity and dense orbit, sensitive dependence to initial conditions, and expansivity. These are termed as the routes to chaos.http://dx.doi.org/10.1155/2018/1808953
collection DOAJ
language English
format Article
sources DOAJ
author S. Effah-Poku
W. Obeng-Denteh
I. K. Dontwi
spellingShingle S. Effah-Poku
W. Obeng-Denteh
I. K. Dontwi
A Study of Chaos in Dynamical Systems
Journal of Mathematics
author_facet S. Effah-Poku
W. Obeng-Denteh
I. K. Dontwi
author_sort S. Effah-Poku
title A Study of Chaos in Dynamical Systems
title_short A Study of Chaos in Dynamical Systems
title_full A Study of Chaos in Dynamical Systems
title_fullStr A Study of Chaos in Dynamical Systems
title_full_unstemmed A Study of Chaos in Dynamical Systems
title_sort study of chaos in dynamical systems
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2018-01-01
description The behavior of systems such as periodicity, fixed points, and most importantly chaos has evolved as an integral part of mathematics, especially in dynamical system. This research presents a study on chaos as a property of nonlinear science. Systems with at least two of the following properties are considered to be chaotic in a certain sense: bifurcation and period doubling, period three, transitivity and dense orbit, sensitive dependence to initial conditions, and expansivity. These are termed as the routes to chaos.
url http://dx.doi.org/10.1155/2018/1808953
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AT wobengdenteh astudyofchaosindynamicalsystems
AT ikdontwi astudyofchaosindynamicalsystems
AT seffahpoku studyofchaosindynamicalsystems
AT wobengdenteh studyofchaosindynamicalsystems
AT ikdontwi studyofchaosindynamicalsystems
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