Controlled synchronization of complex network with different kinds of nodes

Journal of Control Theory and Applications

Volumn 6, Issue 1, 2008, Pages 11-15

  Yang, Zhengquan ^a   Liu, Zhongxin ^a   Chen, Zengqiang ^a   Yuan, Zhuzhi ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

Chaos; Complex network; Exponential stable; Pinning control; Synchronization

Indexed keywords

ASYMPTOTIC STABILITY; CHAOS THEORY; COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; SYNCHRONIZATION;

COMPLEX NETWORKS; PINNING CONTROL;

LARGE SCALE SYSTEMS;

EID: 43349091490     PISSN: 16726340     EISSN: 10008152     Source Type: Journal    
DOI: 10.1007/s11768-008-7187-7     Document Type: Article

References (22)

1. G. Rangarajan, M. Ding. Stability of synchronized chaos in coupled dynamical systems[J]. Physics Letters A, 2002, 296(4/5): 204-209.
2. C. Wu, L. Chua. Synchronization in an array of linearly coupled dynamical systems[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1995, 42(8): 430-447.
3. C. Wu. Synchronization in Coupled Chaotic Circuits and Systems[M]. Singapore: World Scientific, 2002.
4. A. Pogromsky, H. Nijmeijer. Cooperative oscillatory behavior of mutually coupled dynamical systems[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48(2): 152-162.
5. V. N. Belykh, I. Belykh, M. Hasler. Connection graph stability method for synchronized coupled chaotic systems[J]. Physica D, 2004, 195(1/2): 159-187.
6. S. C. Manrubia, S. M. Mikhailov. Mutual synchronization and clustering in randomly coupled chaotic dynamical networks[J]. Physical Review E, 1999, 60(2): 1579-1589.
7. M. Barahona, L. M. Pecora. Synchronization in small-world systems[J]. Physical Review Letters, 2002, 89(5): 054101/1-4.
8. E. Almaas, R. V. Kulkarni, D. Stoud. Characterizing the structure of small-world networks[J]. Physical Review Letters, 2002, 88(9):098101/1-4.
9. H. Hong, M. Choi, B. Kim. Synchronization on small-world networks[J]. Physical Review E, 2002, 65(2): 026139/1-5.
10. X. Wang. Complex networks: topology, dynamics and synchronization[J]. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2002, 12(5): 885-916.
11. X. Wang, G. Chen. Synchronization in small-world dynamical networks[J]. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2002, 12(1): 187-192.
12. X. Wang, G. Chen. Synchronization in scale-free dynamical networks: robustness and fragility[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2002, 49(1):54-62.
13. X. Li, G. Chen. Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2003, 50(11): 1381-1390.
14. J. Lü, X. Yu, G. Chen. Chaos synchronization of general complex dynamical networks[J]. Physica A, 2004, 334(1/2): 281-302.
15. J. Lü, X. Yu, G. Chen, et al. Characterizing the synchronizability of small-world dynamical networks[J]. Transactions on Circuits and Systems, 2004, 51(1): 787-796.
16. J. Lü, G. Chen. A time-varying complex dynamical model and its controlled synchronization criteria[J]. IEEE Transactions on Automatic Control, 2005, 50(6): 841-846.
17. Z. Yang, Z. Liu, Z. Chen, et al. Adaptive synchronization of an uncertain complex delayed dynamical networks[J]. International Journal of Nonlinear Science 2007, 3(2): 93-100.
18. Z. Yang, Z. Liu, Z. Chen, et al. On the global asymptotically synchronization stability analysis of heterogeneous-nodes complex dynamical networks[J]. Dynamics of Continuous, Discrete and Impulsive Systems B (in press).
19. S. Bao, V. T. Chan, M. M. Merzerich. Cortical remodelling induced by activity of ventral tegmental dopamine neurons[J]. Nature, 2001, 412(6842): 79-83.
20. Z. F. Mainen, T. Sejnowski. Reliability of spike timing in neocortical neurons[J]. Science, 1995, 268(5216): 1503-1506.
21. M. C. Ho, Y. C. Hung. Synchronization of two different systems by using generalized active control[J]. Physics Letters A, 2002, 301(5/6):424-428.
22. M. T. Yassen. Chaos synchronization between two different chaotic systems using active control[J]. Chaos, Solitons & Fractals, 2005, 23(1): 131-140.