TY - GEN
T1 - Global stochastic synchronization of chaotic oscillators
AU - Porfiri, Maurizio
AU - Fiorilli, Francesca
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
KW - Chaos
KW - Chua's circuit
KW - Exponential synchronization
KW - Global synchronization
KW - Master-slave synchronization
KW - Stochastic synchronization
UR - http://www.scopus.com/inward/record.url?scp=52649128368&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=52649128368&partnerID=8YFLogxK
U2 - 10.1109/ACC.2008.4586542
DO - 10.1109/ACC.2008.4586542
M3 - Conference contribution
AN - SCOPUS:52649128368
SN - 9781424420797
T3 - Proceedings of the American Control Conference
SP - 511
EP - 516
BT - 2008 American Control Conference, ACC
T2 - 2008 American Control Conference, ACC
Y2 - 11 June 2008 through 13 June 2008
ER -