An intriguing hybrid synchronization phenomenon of two coupled complex networks

Applied Mathematics and Computation

Volumn 216, Issue 8, 2010, Pages 2301-2309

  Sun, Wen ^a   Chen, Zhong ^a   Lü, Yibing ^a   Chen, Shihua ^b  

^a YANGTZE UNIVERSITY   (China)

^b WUHAN UNIVERSITY   (China)

Author keywords

Complex network; The adaptive feedback; The hybrid synchronization; The linear feedback

Indexed keywords

ADAPTIVE FEEDBACK; ADAPTIVE FEEDBACK CONTROL; ANTI-SYNCHRONIZATION; COMPLETE SYNCHRONIZATION; COMPLEX NETWORKS; COUPLED NETWORKS; DRIVING NETWORK; LASALLE'S INVARIANCE PRINCIPLE; LINEAR FEEDBACK; LYAPUNOV STABILITY THEORY; NUMERICAL SIMULATION; SYNCHRONIZATION PROBLEM; SYNCHRONIZATION SCHEME; THE ADAPTIVE FEEDBACK;

CIRCUIT THEORY; COMPUTER SIMULATION; STABILITY CRITERIA; SYNCHRONIZATION;

ADAPTIVE CONTROL SYSTEMS;

EID: 77953140310     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.03.066     Document Type: Article

References (34)

1. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64 8 (1990) 821-824
2. Rosenblum M.G., Pikovsky A.S., and Kurths J. Synchronized firing in coupled inhomogeneous excitable neurons. Phys. Rev. Lett. 76 (1996) 1804-1807
3. Li C., and Chen G. Synchronization in general complex dynamical networks with coupling delays. Physica A 343 (2004) 263-278
4. Chen H.K., and Sheu L.J. The transient ladder synchronization of chaotic systems. Phys. Lett. A 355 (2006) 207-211
5. Rulkov N.F., Sushchik M.M., and Tsimring L.S. Generalized synchronization of chaos in directionally coupled chaotic systems. Phys. Rev. E 51 (1995) 980-994
6. Strogatz S.H. Exploring complex networks. Nature 410 (2001) 268-276
7. Albert R., and Barabasi A.L. Statistic mechanics of complex networks. Rev. Modern Phys. 74 (2002) 47-91
8. Barabona M., and Pecorra L.M. Synchronization in small-world systems. Phys. Rev. Lett. 29 (2002) 054101
9. Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 (1998) 440-442
10. Wang X.F., and Chen G. Synchronization in small-world dynamical networks. Int. J. Bifur. Chaos 12 1 (2002) 187-192
11. Gao H., Lam J., and Chen G. New criteria for synchronization stability of general complex dynamical networks with coupling delays. Phys. Lett. A 360 (2006) 263-273
12. Dhamala M., Jirsa V.K., and Ding M. Enhancement of neural synchrony by coupling delay. Phys. Rev. Lett. 92 7 (2004) 074104
13. Jiang G.P., Zheng W.X., and Chen G. Global chaos synchronization with channel time-delay. Chaos Solitons Fract. 20 (2004) 267-275
14. Wu C.W. Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Nonlinearity 18 (2005) 1057-1064
15. Wu C.W., and Chua L.O. Synchronization in an array of linearly coupled dynamical systems. IEEE Trans. Circ. Syst. I 42 8 (1995) 430-447
16. Pecorra L.M., and Carroll T.L. Master stability function for synchronized coupled systems. Phys. Rev. Lett. 9 (1998) 2109 4
17. Lu W., and Chen T. New approach to synchronization analysis of linearly coupled ordinary differential systems. Physica D 213 (2006) 214-230
18. Lu W., Chen T., and Chen G. Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay. Physica D 221 (2006) 118-134
19. Belykh V., Belykh I., and Hasler M. Connection graph stability method for synchronized coupled chaotic systems. Physica D 195 (2004) 159C187
20. Chen T., Liu X., and Lu W. Pinning complex networks by a single controller. IEEE Trans. Circuits Syst. I-Regular Paper 54 6 (2007) 1317-1326
21. Miller D., Kowalski K., and Lozowski A. Synchronization and antisynchronization of Chua's oscillators via a piecewise linear coupling circuit. Chaos 5 (1999) 458-462
22. Wedekind I., and Parlitz U. Experimental observation of synchronization and anti-synchronization of chaotic low-frequency-fluctuations in external cavity semiconductor laser. Int. J. Bifur. Chaos 11 (2001) 1141-1147
23. Hu J., Chen S., and Chen L. Adaptive control for antisynchronization of Chua's chaotic system. Phys. Lett. A 339 (2005) 455-460
24. Guo-Hui L. Synchronization and anti-synchronization of Colpitts oscillators using active control. Chaos Solitons Fract. 26 (2005) 87-93
25. Li W.L., Chen X.Q., and Shen Z.P. Anti-synchronization of two different chaotic systems. Physica A 387 (2008) 3747-3750
26. Li C.D., and Liao X.F. Anti-synchronization of a class of coupled chaotic systems via linear feedback control. Int. J. Bifur. Chaos 16 4 (2006) 1041-1047
27. Meng J., and Wang X. Robust antisynchronization of a class of delayed chaotic neural networks. Chaos 17 (2007) 023113
28. Zhu H.B., and Cui B.T. The antisynchronization of a class of chaotic delayed neural networks. Chaos 17 (2007) 043122
29. Li R.-h. A special full-state hybrid projective synchronization in symmetrical chaotic systems. Appl. Math. Comp. 200 (2008) 321-329
30. Yau H.-T. Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs. Nonlinear Anal.: Real World Appl. (2007) 303-304
31. Yau H.-T. Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs. Nonlinear Anal.: Real World Appl. 9 (2008) 2253-2261
32. Chen J.-H., Chen H.-K., and Lin Y.-K. Synchronization and anti-synchronization coexist in Chen-Lee chaotic systems. Chaos Solitons Fract. (2007) 306-307
33. Chen J.-H., Chen H.-K., and Lin Y.-K. Synchronization and anti-synchronization coexist in Chen-Lee chaotic systems. Chaos Solitons Fract. 39 (2009) 707-716
34. Khalil H.K. Nonlinear Systems (1996), Prentice-Hall, Upper Saddle River, New Jersy 07458