Effect of noise on the synchronization of bidirectionally coupled time-delayed systems

Author

Sun Yongzheng ; Meng Qingxin ; Liu Maoxing ; Sun Xuming

Author_Institution

Sch. of Sci., China Univ. of Min. & Technol., Xuzhou, China

fYear

2011

fDate

22-24 July 2011

Firstpage

1329

Lastpage

1333

Abstract

Effect of noise on synchronization of bidirectionally coupled Ikeda systems is investigated. Sufficient conditions for the complete synchronization are rigorously established by means of the so-called LaSalle-type invariance principle for stochastic differential equations. Numerical simulations are provided to illustrate the effectiveness of the theoretical results. The simulation results show that the average error in synchronization exhibits a nonmonotonic behavior with the noise amplitude. Furthermore, the simulation results show that synchronization of identical time-delayed systems subjected to the common noise can be achieved for large enough noise amplitudes.

Keywords

delays; differential equations; synchronisation; Ikeda system; LaSalle-type invariance principle; bidirectionally coupled time-delayed system; noise amplitude; noise effect; numerical simulation; stochastic differential equation; synchronization nonmonotonic behavior; Chaos; Couplings; Mathematical model; Noise; Simulation; Synchronization; Time series analysis; Chaos; Noise; Synchronization; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6000662