Synchronization of chaotic systems with time-varying coupling delays

Discrete and Continuous Dynamical Systems - Series B

Volumn 16, Issue 4, 2011, Pages 1071-1082

  Huang, Tingwen ^a   Chen, Guanrong ^b   Kurths, Juergen ^c  

^a TEXAS A AND M UNIVERSITY AT QATAR   (Qatar)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Chaotic System; Synchronization; Time varying Delay

Indexed keywords

EID: 80155198472     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2011.16.1071     Document Type: Article

References (22)

1. S. Boccaletti, J. Kurths, G. Osipov, D. L. Vallares and C. S. Zhou, The synchronization of chaotic systems, Phys. Rep., 366 (2002), 1-101.
2. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, "Linear Matrix Inequalities In Systems And Control Theory," SIAM Studies in Applied Mathematics, 15, SIAM, Philadephia, PA, 1994.
3. J. Cao and J. Lu, Adaptive synchronization of neural networks with or without time-varying delay, Chaos, 16 (2006), 013133, 6 pp.
4. P. Colet and R. Roy, Digital communication with synchronized chaotic lasers, Opt. Lett., 19 (1994), 2056.
5. K. Gopalsamy, "Stability and Oscillations in Delay Differential Equations of Population Dynamics," Mathematics and its Applications, 74, Kluwer Academic Publishers Group, Dordrecht, 1992.
6. H. G. Schuster, ed., "Handbook of Chaos Control: Foundations and Applications," Wiley-VCH, Weinheim, 1999.
7. H. Huang, G. Feng and Y. Sun, Robust synchronization of chaotic systems subject to parameter uncertainties, Chaos, 19 (2009), 033128.
8. T. Huang, C. Li and X. Liu, Synchronization of chaotic systems with delay using intermittent linear state feedback, Chaos, 18 (2008), 033122, 8 pp.
9. C. Li, G. Feng and X. Liao, Stabilization of nonlinear systems via periodically intermittent control, IEEE Trans. Circuits and Systems II, 54 (2006), 1019-1023.
10. C. Li, X. Liao and K. Wong, Chaotic lag synchronization of coupled time-delayed systems and its application in secure communication, Physica D, 194 (2004), 187-202.
11. X. Liu, T. Chen and W. Lu, Cluster synchronization for linearly coupled complex networks, Journal of Industrial and Management Optimization (JIMO), 7 (2011), 87-101.
12. J. Lu, J. Cao and D. Ho, Adaptive stabilization and synchronization for chaotic lure systems with time-varying delay, IEEE Transactions on Circuits and Systems I: Regular Papers, 55 (2008), 1347-1356.
13. L. M. Pecora and T. L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett., 64 (1990), 821-824.
14. J. Qing, Projective synchronization of a new hyperchaotic Lorenz system, Physics Letters A, 370 (2007), 40-45.
15. F. Rogister, D. Pieroux, M. Sciamanna, P. Megret and M. Blondel, Anticipating synchronization of two chaotic laser diodes by incoherent optical coupling and its application to secure communications, Optics Communications, 207 (2002), 295-306. (Pubitemid 34624003)
16. M. Rosenblum and A. Pikovsky, Phase synchronization of chaotic oscillators, Phys. Rev. Lett., 76 (1996), 1804-1807. (Pubitemid 126638871)
17. N. Rulkov and M. Sushchik, Generalized synchronization of chaos in directionally coupled chaotic systems, Phys. Rev. E, 51 (1995), 980-994.
18. S. Sivaprakasam and P. Spencer, Regimes of chaotic synchronization in external-cavity laser diodes, IEEE Journal of Quantum Electronics, 38 (2002), 1155-1161. (Pubitemid 35037079)
19. Q. Song and J. Cao, Global dissipativity analysis on uncertain neural networks with mixed time-varying delays, Chaos, 18 (2008), 043126, 10 pp.
20. K. Thornburg, M. Moller, R. Roy and T. Carr, Chaos and coherence in coupled lasers, Phys. Rev. E, 55 (1997), 3865.
21. J. Wang, Z. Yang, T. Huang and M. Xiao, Local and global exponential synchronization of complex delayed dynamical networks with general topology, Discrete and Continuous Dynamical Systems-Series B, 16 (2011), 393-408.
22. R. Zhen, X. Wu and J. Zhang, "Sliding Model Synchronization Controller Design for Chaotic Neural Network with Time-Varying Delay," Proceedings of the 8th World Congress on Intelligent Control and Automation, China, (2010), 3914-3919.