using chaos synchronization to estimate the largest lyapunov exponent of nonsmooth systems

using chaos synchronization to estimate the largest lyapunov exponent of nonsmooth systems

;Andrzej Stefanski;Tomasz kapitaniak
Journal of the American Heart Association 2000 Vol. 4 pp. 207-215
186
stefanski2000discreteusing

Abstract

We describe the method of estimation of the largest Lyapunov exponent of nonsmooth dynamical systems using the properties of chaos synchronization. The method is based on the coupling of two identical dynamical systems and is tested on two examples of Duffing oscillator: (i) with added dry friction, (ii) with impacts.

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ID: 149164
Ref Key: stefanski2000discreteusing
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149164
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10.1155/S1026022600000200
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