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
Andrzej Stefanski
and Tomasz Kapitaniak
Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland
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.