Cluster synchronization in nonlinearly coupled delayed networks of non-identical dynamic systems

Nonlinear Analysis: Real World Applications

Volumn 14, Issue 1, 2013, Pages 842-851

  Wang, Yangling ^a,b   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b NANJING XIAOZHUANG UNIVERSITY   (China)

Author keywords

Cluster synchronization; Non identical dynamic systems; Nonlinearly coupled networks; Pinning control; Time varying delay

Indexed keywords

CLUSTER SYNCHRONIZATION; COMMUNITY STRUCTURES; DELAYED NETWORKS; HIGH DENSITY; LOWER DENSITY; NETWORK NODE; NONLINEARLY COUPLED; PINNING CONTROL; TIME-VARYING DELAY;

LYAPUNOV FUNCTIONS; SOCIAL SCIENCES; SYNCHRONIZATION; TIME VARYING CONTROL SYSTEMS;

COMPUTER NETWORKS;

EID: 84866360436     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2012.08.005     Document Type: Article

References (25)

1. H. Gao, J. Lam, and G. Chen New criteria for synchronization stability of general complex dynamical networks with coupling delays Phys. Lett. A 360 2006 263 273 (Pubitemid 44647562)
2. C. Li, W. Sun, and J. Kurths Synchronization of complex dynamical networks with time delays Physica A 361 2006 24 34 (Pubitemid 41627540)
3. Q. Zhang, J. Lu, and J. Lü Adaptive feedback synchronization of a general complex dynamical network with delayed nodes IEEE Trans. Circuits Syst. I. 55 2008 183 187
4. J. Lu, and J. Cao Adaptive feedback synchronization of uncertain dynamical networks with delayed coupling Nonlinear Dynam. 53 2008 107 115
5. Y. Wang, Z. Wang, and J. Liang Global synchronization for delayed complex networks with randomly occurring nonlinearities and multiple stochastic disturbances J. Phys. A: Math. Theor. 42 2009 135101
6. S. Wang, H. Yao, and Q. Bian Synchronization in complex networks with time-varying delays dynamical nodes via pinning control Math. Probl. Eng. 2012 2012 654742
7. M. Rosenblum, A. Pikovsky, and J. Kurth From phase to lag synchronization in coupled chaotic oscillator Phys. Rev. Lett. 78 1997 4193 4196 (Pubitemid 127655459)
8. Q. Miao, Y. Tang, S. Lu, and J. Fang Lag synchronization of a class of chaotic systems with unknown parameters Nonlinear Dynam. 57 2009 107 112
9. W. Guo Lag synchronization of complex networks via pinning control Nonlinear Anal. RWA 12 2011 2579 2585
10. S. Wang, and H. Yao The effect of control strength on lag synchronization of nonlinear coupled complex networks Abstr. Appl. Anal. 2012 2012 810364
11. E.G. de Oliverra, and T. Braun Partial synchronization on a network with different classes of oscillators Phys. Rev. E 76 2008 067201
12. W. Qin, and G. Chen Coupling schemes for cluster synchronization in coupled Josephson equations Physica D 197 2004 375 391
13. Z. Ma, Z. Liu, and G. Zhang A new method to realize cluster synchronization in connected chaotic networks Chaos 16 2006 023103
14. V.N. Belykh, G.V. Osipov, V.S. Petrov, and J.A.K. Suykens Cluster synchronization in oscillatory networks Chaos 18 2008 037106
15. J. Cao, and L. Li Cluster synchronization in an array of hybrid coupled neural networks with delay Neural Netw. 22 2009 335 342
16. X. Liu, and T. Chen Cluster synchronization in directed networks via intermittent pinning control IEEE Trans. Neural Netw. 22 2011 1009 1020
17. K. Wang, X. Fu, and K. Li Cluster synchronization in community networks with nonidentical nodes Chaos 19 2009 023106
18. W. Lu, B. Liu, and T. Chen Cluster synchronization in networks of coupled nonidentical dynamical systems Chaos 20 2010 013120
19. Z. Wu, and X. Fu Cluster mixed synchronization via pinning control and adaptive coupling strength in community networks with nonidentical nodes Comm. Nonlinear Sci. Numer. Simulat. 17 2012 1628 1636
20. S. Wang, H. Yao, and M. Sun Cluster synchronization of time-varying delays coupled complex networks with nonidentical dynamical nodes J. Appl. Math. 2012 2012 958405
21. J. Wang, J. Feng, X. Chen, and Y. Zhao Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix Nonlinear Dynam. 67 2012 1635 1646
22. S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan Linear Matrix Inequalities in System and Control Theory 1994 SIAM Philadelphia
23. J. Zhou, X. Wu, W. Yu, M. Small, and J. Lu Pinning synchronization of delayed neural networks Chaos 18 2008 043111
24. I. Belykh, E. de Lange, and M. Hasler Synchronization of bursting neurons: what matters in the network topology Phys. Rev. Lett. 94 2005 188101
25. Y. Wang, and J. Cao Pinning synchronization of delayed neural networks with nonlinear inner-coupling Discrete Dyn. Nat. Soc. 2011 2011 901085