Global stochastic synchronization of chaotic oscillators

Author

Porfiri, Maurizio ; Fiorilli, Francesca

Author_Institution

Dept. of Mech. Eng., Polytech. Univ., Brooklyn, NY

fYear

2008

fDate

11-13 June 2008

Firstpage

511

Lastpage

516

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;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2008

Conference_Location

Seattle, WA

ISSN

0743-1619

Print_ISBN

978-1-4244-2078-0

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2008.4586542

Filename

4586542