Exponential synchronization of weighted general delay coupled and non-delay coupled dynamical networks

Computers and Mathematics with Applications

Volumn 60, Issue 8, 2010, Pages 2476-2487

  Wu, Xiangjun ^a,b   Lu, Hongtao ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b HENAN UNIVERSITY   (China)

Author keywords

Chen system; Delay coupled and non delay coupled network; Exponential synchronization; Weighted complex dynamical network

Indexed keywords

CHEN SYSTEM; COMPLEX DYNAMICAL NETWORKS; COUPLED NETWORKS; COUPLING MATRIX; DYNAMICAL NETWORKS; EXPONENTIAL CONVERGENCE RATE; EXPONENTIAL SYNCHRONIZATION; ISOLATED NODES; LIPSCHITZ CONDITIONS; LYAPUNOV STABILITY THEORY; NETWORK NODE; NUMERICAL SIMULATION; SYNCHRONIZATION METHOD; SYNCHRONIZATION SCHEME; TOPOLOGICAL STRUCTURE; UNDIRECTED NETWORK;

TOPOLOGY;

SYNCHRONIZATION;

EID: 77957342029     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.08.054     Document Type: Article

References (33)

1. D.J. Watts, and S.H. Strogatz Collective dynamics of small-world networks Nature 393 6684 1998 409 410
2. A.L. Barabsi, and R. Albert Emergence of scaling in random networks Science 286 5439 1999 509 512
3. S.H. Strogatz Exploring complex networks Nature 410 6825 2001 268 276
4. R. Albert, and A.L. Barabsi Statistical mechanics of complex networks Reviews of Modern Physics 74 1 2002 47 97
5. J. L, X.H. Yu, G. Chen, and D.Z. Cheng Characterizing the synchronizability of small-world dynamical networks IEEE Transactions on Circuits and Systems I 51 4 2004 787 796
6. S. Boccaleti, V. Latora, Y. Moreno, M. Chavez, and D.U. Hwang Complex networks: structure and dynamics Physics Reports 424 45 2006 175 308
7. K. Kaneko Theory and Applications of Coupled Map Lattices 1993 Wiley New York
8. A.L. Gelover-Santiago, R. Lima, and G. Matinez-Mekler Synchronization and cluster periodic solutions in globally coupled maps Physica A 283 12 2000 131 135
9. Y.Q. Gu, C. Shao, and X.C. Fu Complete synchronization and stability of star-shaped complex networks Chaos, Solitons & Fractals 28 2 2006 480 488
10. X.F. Wang, and G. Chen Synchronization in small-world dynamical networks International Journal of Bifurcation and Chaos 12 1 2002 187 192
11. X.F. Wang, and G. Chen Synchronization in scale-free dynamical networks: robustness and fragility IEEE Transactions on Circuits and Systems I 49 1 2002 54 62
12. X. Li, X. Wang, and G. Chen Pinning a complex dynamical network to its equilibrium IEEE Transactions on Circuits and Systems I 51 3 2004 2074 2087
13. J. L, and G. Chen A time-varying complex dynamical network models and its controlled synchronization criteria IEEE Transactions on Automatic Control 50 6 2005 841 846
14. C.W. Wu Synchronization and convergence of linear dynamics in random directed networks IEEE Transactions on Automatic Control 51 7 2006 1207 1210
15. W. Yu, J. Cao, and J. L Global synchronization of linearly hybrid coupled networks with time-varying delay SIAM Journal on Applied Dynamical Systems 7 1 2008 108 133
16. J. Cao, P. Li, and W. Wang Global synchronization in arrays of delayed neural networks with constant and delayed coupling Physics Letters A 353 4 2006 318 325 (Pubitemid 43575139)
17. G. He, and J. Yang Adaptive synchronization in nonlinearly coupled dynamical networks Chaos, Solitons & Fractals 38 5 2008 1254 1259
18. A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou Synchronization in complex networks Physics Reports 469 1 2008 93 153
19. W. Yu, G. Chen, and J. L On pinning synchronization of complex dynamical networks Automatica 45 2 2009 429 435
20. Q. Song, J. Cao, and F. Liu Synchronization of complex dynamical networks with nonidentical nodes Physics Letters A 374 4 2010 544 551
21. X. Wu, W. Zheng, and J. Zhou Generalized outer synchronization between complex dynamical networks Chaos 19 1 2009 013109
22. M. Dhamala, V.K. Jirsa, and M. Ding Enhancement of neural synchrony by time delay Physical Review Letters 92 7 2004 074104
23. M. Thomas, and M. Morari Delay Effects on Stability: A Robust Control Approach Lecture Notes in Control and Information Science vol. 269 2001 Springer Berlin, Heidelberg, New York
24. X. Xu, Z. Chen, G. Si, X. Hu, and P. Luo A novel definition of generalized synchronization on networks and a numerical simulation example Computers & Mathematics with Applications 56 11 2008 2789 2794
25. Z.X. Liu, Z.Q. Chen, and Z.Z. Yuan Pinning control of weighted general complex dynamical networks with time delay Physica A 375 1 2007 345 354
26. S. Wen, S. Chen, and W. Guo Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling Physics Letters A 372 42 2008 6340 6346
27. L. Wang, H.P. Dai, H. Dong, Y.H. Shen, and Y.X. Sun Adaptive synchronization of weighted complex dynamical networks with coupling time-varying delays Physics Letters A 372 20 2008 3632 3639
28. C.W. Wu Synchronization in networks of nonlinear dynamical systems coupled via a directed graph Nonlinearity 18 3 2005 1057 1064
29. P. Li, and Z. Yi Synchronization analysis of delayed complex networks with time-varying couplings Physica A 387 14 2008 3729 3737
30. X. Lou, and B. Cui Synchronization of neural networks based on parameter identification and via output or state coupling Journal of Computational and Applied Mathematics 222 2 2008 440 457
31. J. Lu, and J. Cao Adaptive synchronization of uncertain dynamical networks with delayed coupling Nonlinear Dynamics 53 12 2008 107 115
32. L.Y. Xiang, Z.X. Liu, Z.Q. Chen, F. Chen, and Z.Z. Yuan Pinning control of complex dynamical networks with general topology Physica A 379 1 2007 298 306
33. G. Chen, and T. Ueta Yet another chaotic attractor International Journal of Bifurcation and Chaos 9 7 1999 1465 1466