Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model

In this paper, we introduced the Lyapunov exponents (LEs) as a significant tool that is used to study the numerical solution behavior of the dynamical systems. Moreover, Hide’s coupled dynamo model presents a valuable dynamical study. We simulate the convergence of the LEs of the model in three case...

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Autores principales:	Alresheedi Teflah, Allahem Ali
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	lyapunov exponents dynamical system dynamo model periodic flow chaotic flow regular flow 00a05 11s82 15a06 15a60 30c30 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/91025b1bf08f421096d901863ed9cb3a
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spelling	oai:doaj.org-article:91025b1bf08f421096d901863ed9cb3a2021-12-05T14:10:45ZDynamical study of Lyapunov exponents for Hide’s coupled dynamo model2391-466110.1515/dema-2021-0023https://doaj.org/article/91025b1bf08f421096d901863ed9cb3a2021-06-01T00:00:00Zhttps://doi.org/10.1515/dema-2021-0023https://doaj.org/toc/2391-4661In this paper, we introduced the Lyapunov exponents (LEs) as a significant tool that is used to study the numerical solution behavior of the dynamical systems. Moreover, Hide’s coupled dynamo model presents a valuable dynamical study. We simulate the convergence of the LEs of the model in three cases by means of periodic flow, regular flow, and chaos flow. In addition, we compared these cases in logic connections and proved them in a mathematical way.Alresheedi TeflahAllahem AliDe Gruyterarticlelyapunov exponentsdynamical systemdynamo modelperiodic flowchaotic flowregular flow00a0511s8215a0615a6030c30MathematicsQA1-939ENDemonstratio Mathematica, Vol 54, Iss 1, Pp 189-195 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	lyapunov exponents dynamical system dynamo model periodic flow chaotic flow regular flow 00a05 11s82 15a06 15a60 30c30 Mathematics QA1-939
spellingShingle	lyapunov exponents dynamical system dynamo model periodic flow chaotic flow regular flow 00a05 11s82 15a06 15a60 30c30 Mathematics QA1-939 Alresheedi Teflah Allahem Ali Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model
description	In this paper, we introduced the Lyapunov exponents (LEs) as a significant tool that is used to study the numerical solution behavior of the dynamical systems. Moreover, Hide’s coupled dynamo model presents a valuable dynamical study. We simulate the convergence of the LEs of the model in three cases by means of periodic flow, regular flow, and chaos flow. In addition, we compared these cases in logic connections and proved them in a mathematical way.
format	article
author	Alresheedi Teflah Allahem Ali
author_facet	Alresheedi Teflah Allahem Ali
author_sort	Alresheedi Teflah
title	Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model
title_short	Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model
title_full	Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model
title_fullStr	Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model
title_full_unstemmed	Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model
title_sort	dynamical study of lyapunov exponents for hide’s coupled dynamo model
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/91025b1bf08f421096d901863ed9cb3a
work_keys_str_mv	AT alresheediteflah dynamicalstudyoflyapunovexponentsforhidescoupleddynamomodel AT allahemali dynamicalstudyoflyapunovexponentsforhidescoupleddynamomodel
_version_	1718371766243426304

Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model

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