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

• Autorzy: Alresheedi Teflah , Allahem Ali

Identyfikatory

DOI

10.1515/dema-2021-0023

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lyapunov exponents; dynamical system; dynamo model; periodic flow; chaotic flow; regular flow

PL

wykładnik Lapunowa; układ dynamiczny; przepływ okresowy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 189--195
• Opis fizyczny: Bibliogr. 25 poz., rys.

Twórcy

autor

Alresheedi Teflah

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

autor

Allahem Ali

• Department of Mathematics, College of Sciences, Qassim University, Kingdom of Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).