Title :
Global stochastic synchronization of chaotic oscillators
Author :
Porfiri, Maurizio ; Fiorilli, Francesca
Author_Institution :
Dept. of Mech. Eng., Polytech. Univ., Brooklyn, NY
Abstract :
We study synchronization of two chaotic oscillators in a master-slave configuration. The two dynamic systems are coupled via a directed feedback that randomly switches among a finite set of given constant functions at a prescribed time rate. We use stochastic Lyapunov stability theory and partial averaging techniques to show that global synchronization is possible if the switching period is sufficiently small and if the two systems globally exponentially synchronize under an average feedback coupling. The approach is applied to the synchronization of two Chua´s circuits.
Keywords :
Chua´s circuit; Lyapunov methods; nonlinear control systems; Chua´s circuits; average feedback coupling; chaotic oscillators; global stochastic synchronization; master-slave configuration; stochastic Lyapunov stability; Biological systems; Chaos; Chaotic communication; Coupling circuits; Master-slave; Oscillators; Peer to peer computing; Stability; Stochastic processes; Stochastic systems; Chua’s circuit; Global synchronization; chaos; exponential synchronization; master-slave synchronization; stochastic synchronization;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4586542
