Synchronization of noise-perturbed optical systems with multiple time delays

doi:10.1088/1674-1056/21/2/020509

Abstract In this paper, complete synchronization and generalized synchronization between two unidirectionally coupled optical systems with multiple time delays and noise perturbation are investigated. Sufficient conditions for both complete synchronization and generalized synchronization are rigorously established. Numerical simulations fully support the theoretical results. The effect of parameter mismatch on the quality of synchronization is also explored.

Keywords: synchronization noise time delays

Received: 20 December 2010
Revised: 12 July 2011
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.40.Ca	(Noise)
	02.30.Ks	(Delay and functional equations)

Fund: Project supported by the Fundamental Research Funds for the Central Universities, China (Grant Nos. 2011QNA26 and 2010LKSX04) and the Natural Science Foundation of Zhejiang Provice, China (Grant Nos. Y6110775 and Y6110789).

Corresponding Authors: Tang Mao-Ning,Mntangs@163.com
E-mail: Mntangs@163.com

Cite this article:

Tang Mao-Ning(唐矛宁) Synchronization of noise-perturbed optical systems with multiple time delays 2012 Chin. Phys. B 21 020509

[1]	Chen G and Dong X 1998 From Chaos to Order. Methodologies, Perspectives and Applications (Singapore: World Scientific)
[2]	Huang L, Feng R and Wang M 2006 emphPhys. Lett. A 350 197
[3]	Chen S, Hua J, Wang C and Lü J 2004 emphPhys. Lett. A 321 50
[4]	Lu J 2005 emphChaos, Solitons and Fractals 25 403
[5]	Feng C, Xu X, Wu Z and Wang Y 2008 emphChin. Phys. B 17 1951
[6]	Li H Q, Liao X F and Huang H Y 2011 emphActa Phys. Sin. 60 020512 (in Chinese)
[7]	Lü L, Meng L, Guo L, Zou J R and Yang M 2011 emphActa Phys. Sin. 60 030506 (in Chinese)
[8]	Wu Y F, Zhang S P, Sun J W and Peter R 2011 emphActa Phys. Sin. 60 020511 (in Chinese)
[9]	Liu F C, Li J Y and Zang X F 2011 emphActa Phys. Sin. 60 030504 (in Chinese)
[10]	Sun Y Z and Ruan J 2010 emphChin. Phys. B 19 070513
[11]	Zhou P and Cao Y X 2010 emphChin. Phys. B 19 100507
[12]	Yuan Z L, Xu Z Y and Guo L X 2011 emphChin. Phys. B 20 070503
[13]	Hale J and Lunel S M V 1993 emphIntroduction to Functional Differential Equations (New York: Springer)
[14]	Liu Y and Ohtsubo J 1997 emphIEEE Quantum Electron. 33 1163
[15]	Shahverdiev E M and Shore K A 2008 emphPhys. Rev. E 77 057201
[16]	Shahverdiev E M and Shore K A 2009 emphOpt. Commun. 282 310
[17]	Landsman A S and Schwartz I B 2007 emph Phys. Rev. E 75 026201
[18]	Senthilkumar D V, Lakshmanan M and Kurths J 2006 emphPhys. Rev. E 74 035205
[19]	Voss H U 2000 emphPhys. Rev. E 61 5115
[20]	Shahverdiev E M and Shore K A 2005 emphPhys. Rev. E 71 016201
[21]	Shahverdiev E M, Sivaprakasam S and Shore K A 2002 emphPhys. Rev. E 66 017204
[22]	Chen M and Kurths J 2007 emphPhys. Rev. E 76 036212
[23]	Shahverdiev E M 2004 emph Phys. Rev. E 70 067202
[24]	Shahverdiev E M, Nuriev R A, Hashimova L H, Huseynov E M, Hashimov R H and Shore K A 2008 emphChaos, Solitons and Fractals 36 211
[25]	Buri'c N, Todorovi'c K and Vasovi'c N 2007 emphPhys. Rev. E 75 026209
[26]	Lin W and He Y 2007 emphChaos 15 023705
[27]	Chen Z, Lin W and Zhou J 2007 emphChaos 17 023106
[28]	Wang G, Cao J and Lu J 2010 emphPhysica A 389 1480
[29]	Korniss G 2007 emphPhys. Rev. E 75 051121
[30]	Tu L L 2011 emphChin. Phys. B 20 030504
[31]	Hunt D, Korniss G and Szymanski B K 2010 emph Phys. Rev. Lett. 105 068701
[32]	Arecchi F T, Giacomelli G, Lapucci A and Meucci R 1991 emphPhys. Rev. A 43 4997
[33]	Ikeda K and Matsumoto K 1986 emphJ. Stat. Phys. 44 955
[34]	Mao X 1997 emph Stochastic Differential Equations and Applications (English: Horwood)
[35]	Rosenblum M G, Pikovsky A S and Kurths J 1997 emphPhys. Rev. Lett. 78 4193
[36]	Rulkov N F, Sushchik M M, Tsimring L S and Abarbanel H D I 1995 emphPhys. Rev. E 51 980

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