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

Stefanski, Andrzej; kapitaniak, Tomasz

doi:https://doi.org/10.1155/S1026022600000200

Discrete Dynamics in Nature and Society

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Volume 4 | Article ID 968905 | https://doi.org/10.1155/S1026022600000200

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

Andrzej Stefanski¹and Tomasz kapitaniak¹

Received15 Apr 1999

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.

Copyright

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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