Synchronization of chaotic systems with time-varying coupling delays
Pages: 1071 - 1082,
Issue 4,
November 2011
doi:10.3934/dcdsb.2011.16.1071 Abstract
References
Full text (680.0K)
Related Articles
Tingwen Huang - Texas A&M University at Qatar, Doha, P.O.Box 23874, Qatar (email)
Guanrong Chen - Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China (email)
Juergen Kurths - Institute for Physics, University of Potsdam, Am Neuen Palais, Gebude 19, D-14415 Potsdam, Germany (email)
| 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 lur’e 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. |
|
| 16 |
M. Rosenblum and A. Pikovsky, Phase synchronization of chaotic oscillators, Phys. Rev. Lett., 76 (1996), 1804-1807. |
|
| 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. |
|
| 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. |
|
Go to top
|