Discrete Dynamics in Nature and Society
Volume 4 (2000), Issue 3, Pages 207-215
doi:10.1155/S1026022600000200
Using chaos synchronization to estimate the largest lyapunov exponent of nonsmooth systems
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.
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.