Generalized lag-synchronization of continuous chaotic system

Chaos, Solitons and Fractals

Volumn 40, Issue 2, 2009, Pages 766-770

  Huang, Yuehua ^a,b   Wang, Yan Wu ^b   Xiao, Jiang Wen ^b  

^a CHINA THREE GORGES UNIVERSITY   (China)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS;

DUFFING SYSTEM; LAG SYNCHRONIZATION; LAG-TIME; LORENZ SYSTEM; NON-LINEAR TRANSFORMATIONS;

CHAOTIC SYSTEMS;

EID: 65249092078     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.08.022     Document Type: Article

References (25)

1. Pecora L.M., and Carroll T.L. Synchronization in chaotic system. Phys Rev Lett 64 (1990) 821-824
2. Wang Y., Guan Z.-H., and Wang H.O. Feedback and adaptive control for the synchronization of Chen system via a single variable. Phys Lett A 312 (2003) 34-40
3. Fradkov A.L., and Pogromsky A.Yu. Speed gradient control of chaotic continuous- time systems. IEEE Trans Circuits Syst I 43 11 (1996) 907-913
4. Nijmeijer H., and Mareels I.M.Y. An observer looks at synchronization. IEEE Trans Circuits Syst I 44 10 (1997) 882-890
5. Itoh M., Yang T., and Chua L.O. Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Int J Bifur Chaos 11 2 (2001) 551-560
6. Wang Y.-W., Guan Z.-H., and Xiao J.-W. Impulsive synchronization for a class of continuous systems. Chaos 14 1 (2004) 199-203
7. Rulkov N.F., Sushchik M.M., Tsimring L.S., and Abarbanel H.D.I. Generalized synchronization of chaos in directionally coupled chaotic systems. Phys Rev E 51 (1995) 980-994
8. Kocarev L., and Parlitz U. Generalized synchronization, predictability and equivalence of unidirectionally coupled systems. Phys Rev Lett 76 11 (1996) 1816-1819
9. Abarbanel H.D.I., Rulkov N.F., and Sushchik M.M. Generalized synchronization of chaos: the auxiliary system approach. Phys Rev E 53 (1996) 4528-4535
10. Cincotti S., and Teglio A. Generalized synchronization on linear manifold in coupled nonlinear systems. ISCAS 3 (2002) III-61-III-64
11. Yang X.S., and Chen G. Some observer-based criteria for discrete-time generalized chaos synchronization. Chaos, Solitons & Fractals 13 (2002) 1303-1308
12. Li G. Generalized projective synchronization of two chaotic systems by using active control. Chaos, Solitons & Fractals 30 1 (2006) 77-82
13. Ge Z.M., and Yang C.H. Pragmatical generalized synchronization of chaotic systems with uncertain parameters by adaptive control. Phys D: Nonlin Phenon 231 2 (2007) 87-94
14. Zhang G., Liu Z., and Ma Z. Generalized synchronization of different dimensional chaotic dynamical systems. Chaos, Solitons & Fractals 32 2 (2007) 773-779
15. Li C., and Yan J. Generalized projective synchronization of chaos: the cascade synchronization approach. Chaos, Solitons & Fractals 30 1 (2006) 140-146
16. Zhang R., Xu Z., Yang S.X., et al. Generalized synchronization via impulsive control. Chaos, Solitons & Fractals 38 1 (2008) 97-105
17. Yang J., and Hu G. Three types of generalized synchronization. Phys Lett A 361 4-5 (2007) 332-335
18. Zhan M., Wang X., Gong X., Wei G.W., and Lai C.-H. Complete synchronization and generalized synchronization of one-way coupled time-delay systems. Phys Rev E 68 (2003) 036208-1-5
19. Rosenblum M.G., Pikovsky A.S., and Kurths J. From phase to lag-synchronization in coupled chaotic oscillators. Phys Rev Lett 78 22 (1997) 4193-4196
20. Taherion S., and Lai Y.-C. Observability of lag-synchronization in coupled chaotic oscillators. Phys Rev E 59 (1999) R6247-R6250
21. Shahverdiev E.M., Sivaprakasam S., and Shore K.A. Lag-synchronization in time-delayed systems. Phys Lett A 292 (2002) 320-324
22. Li C., Liao X., and Wong K. Chaotic lag-synchronization of coupled time-delayed systems and its applications in secure communication. Phys D 194 (2004) 187-202
23. Li C., Liao X., and Wong K. Lag-synchronization of hyperchaos with application to secure communications. Chaos, Solitons & Fractals 23 (2005) 183-193
24. Sun Y., and Cao J. Adaptive lag-synchronization of unknown chaotic delayed neural networks with noise perturbation. Phys Lett A 364 3-4 (2007) 277-285
25. Zhu L., and Lai Y.-C. Experimental observation of generalized time-lagged chaotic synchronization. Phys Rev E 64 (2001) 045205-1-4