Dynamical study of Lyapunov exponents for Hide’s coupled dynamo model-Reference-Cited by-同舟云学术

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

Published:2021-01-01 Issue:1 Volume:54 Page:189-195
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Alresheedi Teflah¹,Allahem Ali²

Affiliation:

1. Department of Mathematics, College of Sciences and Arts in Unaizah , Qassim University , Kingdom of Saudi Arabia

2. Department of Mathematics, College of Sciences , Qassim University , Kingdom of Saudi Arabia

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2021-0023/pdf

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