Title: Study on a New Estimation Method of the Largest Lyapunov Exponent of Chaotic Systems
Abstract: AbstrcatThe Lyapunov exponent is an important index for chaotic systems. In this paper a method is proposed to estimate the largest Lyapunov exponent based on properties of chaos synchronization. Through constructing feedback controlled coupling chaos synchronization systems and applying synchronization condition, the results show that the minimum control gains to synchronize coupling chaotic systems is the estimation of the largest Lyapunov exponent. Proposed method is applied to Lorenz chaos and dry friction Duffing chaos and numerical simulations demonstrate the validity.
Publication Year: 2005
Publication Date: 2005-01-01
Language: en
Type: article
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Cited By Count: 2
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