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

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.

Keywords

• lyapunov exponents
• dynamical system
• dynamo model
• periodic flow
• chaotic flow
• regular flow
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• 11s82
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• 30c30