Lag synchronization of coupled delayed chaotic neural networks by periodically intermittent control

Abstract and Applied Analysis

Volumn 2013, Issue , 2013, Pages

  Dan, Songjian ^a,b   Yang, Simon X ^a,c   Feng, Wei ^c  

^a CHONGQING UNIVERSITY   (China)

^b UNIVERSITY OF GUELPH   (Canada)

^c CHONGQING UNIVERSITY OF EDUCATION   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84874532036     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2013/501461     Document Type: Article

References (17)

1. Pecora L. M., Carroll T. L., Synchronization in chaotic systems. Physical Review Letters 1990 64 8 821 824 10.1103/PhysRevLett.64.821 MR1038263 ZBL0938.37019
2. Pecora L. M., Carroll T. L., Driving systems with chaotic signals. Physical Review A 1991 44 4 2374 2383 2-s2.0-5344269568 10.1103/PhysRevA.44.2374
3. Rulkov N. F., Sushchik M. M., Tsimring L. S., Abarbanel H. D. I., Generalized synchronization of chaos in directionally coupled chaotic systems. Physical Review E 1995 51 2 980 994 2-s2.0-33744833457 10.1103/PhysRevE.51.980
4. Mainieri R., Rehacek J., Projective synchronization in three-dimensional chaotic systems. Physical Review Letters 1999 82 15 3042 3045 2-s2.0-0000777715 (Pubitemid 129689207)
5. Rosenblum M. G., Pikovsky A. S., Kurths J., Phase synchronization of chaotic oscillators. Physical Review Letters 1996 76 11 1804 1807 2-s2.0-4243262725 (Pubitemid 126638871)
6. Rosenblum M. G., Pikovsky A. S., Kurths J., From phase to lag synchronization in coupled chaotic oscillators. Physical Review Letters 1997 78 22 4193 4196 2-s2.0-0031548743 (Pubitemid 127655459)
7. Masoller C., Zanette D. H., Anticipated synchronization in coupled chaotic maps with delays. Physica A 2001 300 3-4 359 366 2-s2.0-0035889728 10.1016/S0378-4371(01)00362-4 (Pubitemid 32997805)
8. Wu A. L., Wen S. P., Zeng Z. G., Synchronization control of a class of memristor-based recurrent neural networks. Information Sciences 2012 183 1 106 116 10.1016/j.ins.2011.07.044 MR2847020 ZBL1243.93049
9. Wen S. P., Zeng Z. G., Exponential stability analysis of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 2012 97 233 240
10. Zhang Q., Lu J. A., Full state hybrid lag projective synchronization in chaotic (hyperchaotic) systems. Physics Letters A 2008 372 9 1416 1421 10.1016/j.physleta.2007.09.051 MR2388339 ZBL1217.37037
11. Shahverdiev E. M., Sivaprakasam S., Shore K. A., Lag synchronization in time-delayed systems. Physics Letters A 2002 292 6 320 324 2-s2.0-0037074482 10.1016/S0375-9601(01)00824-6
12. Li C. D., Liao X. F., Wong K. W., Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Physica D 2004 194 3-4 187 202 10.1016/j.physd.2004.02.005 MR2075653 ZBL1059.93118
13. Zhou J., Chen T., Xiang L., Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication. Circuits, Systems, and Signal Processing 2005 24 5 599 613 10.1007/s00034-005-2410-y MR2187042 ZBL1102.94010 (Pubitemid 43000295)
14. Boyd S., El Ghaoui L., Feron E., Balakrishnan V., Linear Matrix Inequalities in System and Control Theory 1994 Philadelphia, Pa, USA Society for Industrial and Applied Mathematics (SIAM) 10.1137/1.9781611970777 MR1284712
15. Halanay A., Differential Equations: Stability, Oscillations, Time Lags 1966 San Diego, Calif, USA Academic Press MR0216103
16. Huang J. J., Li C. D., Han Q., Stabilization of delayed chaotic neural networks by periodically intermittent control. Circuits, Systems, and Signal Processing 2009 28 4 567 579 10.1007/s00034-009-9098-3 MR2520197 ZBL1170.93370
17. Lu H. T., Chaotic attractors in delayed neural networks. Physics Letters A 2002 298 109 116