Discrete Dynamics in Nature and Society
Volume 4 (2000), Issue 3, Pages 207-215

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

Andrzej Stefanski and Tomasz kapitaniak

Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland

Received 15 April 1999

Copyright © 2000 Andrzej Stefanski and Tomasz kapitaniak. 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.


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.