Periodic oscillation for Cohen-Grossberg-type bidirectional associative memory neural networks with neutral time-varying delays

5th International Conference on Natural Computation, ICNC 2009

Volumn 2, Issue , 2009, Pages 18-23

  Bai, Chuanzhi ^a  

^a HUAIYIN NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BI-DIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS; COINCIDENCE DEGREE THEORY; CONTINUATION THEOREM; DIFFERENTIABILITY; ILLUSTRATIVE EXAMPLES; M-MATRIX; PERIODIC OSCILLATION; PERIODIC SOLUTION; SUFFICIENT CONDITIONS; TIME-VARYING DELAY;

ASSOCIATIVE PROCESSING; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

NEURAL NETWORKS;

EID: 77950602871     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICNC.2009.630     Document Type: Conference Paper

References (18)

1. C. Bai, "Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses", Chaos, Solitons and Fractals 35 (2008), 263-267. (Pubitemid 47391245)
2. C. Bai, "Global exponential stability and existence of periodic solution of Cohen-Grossberg type neural networks with delays and impulses", Nonlinear Anal: Real World Appl. 9 (2008), 747-761. (Pubitemid 351221394)
3. Berman A, Plemmons R J, Nonnegative matrices in the mathematical science, Academic Press, New York, 1979.
4. J. Cao, Q. Song, "Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays", Nonlinearity, 19 (2006) 1601-1617. (Pubitemid 43941157)
5. A. Chen, J. Cao, "Periodic bi-directional Cohen-Grossberg neural networks with distributed delays", Nonlinear Analysis 66 (2007), 2947-2961. (Pubitemid 46412666)
6. J. Chen, X. Chen, Special Matrices, Tsinghua Univ. Press, Beijing, 2001.
7. M. Cohen, S. Grossberg, "Stability and global pattern formation and memory storage by competitive neural networks", IEEE Trans Syst, Man Cyber 13 (1983) 815-826. (Pubitemid 14132147)
8. C. Fang, R. Plamondon, "Stability analysis of bidirectional associative memory networks with time delays", IEEE Trans. Neural Netw. 14 (2003) 1560-1565.
9. R.E. Gaines, J.L. Mawhin, Coincidence Degree and Nonlinear Differential Equations, Spinger-Verlag, Berlin, 1977.
10. Z. Gui, W. Ge, "Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses", Phys. Lett. A 354 (2006) 84-94. (Pubitemid 43627971)
11. Z. Gui, W. Ge, X. Yang, "Periodic oscillation for a Hopfield neural networks with neutral delays", Phys. Lett. A 364 (2007), 267-273.
12. S. Guo, L. Huang, "Periodic oscillation for a class of neural networks with variable coefficients", Nonlinear Anal. 6 (2005) 545-561. (Pubitemid 40232070)
13. J. Hopfield, " Neuron with graded response have collective computational properties like those of two-state neurons", Proc Natl Acad Sci USA, 81 (1984) 3088-3092.
14. B. Kosto, "Bi-directional associative memories", IEEE Trans Syst, Man Cyber 18 (1988) 49-60.
15. Y. Li, "Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays", Chaos, Solotons and Fractals 20 (2004) 459-466.
16. Y. Li, L. Lu, "Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses", Phys. Lett. A 333 (2004) 62-71.
17. B. Liu, L. Huang, "Existence and exponential stability of periodic solutions for cellular neural networks with time-varying delays", Phys. Lett. A 349 (2006) 474-483. (Pubitemid 43021045)
18. Z. Liu, L. Liao, "Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays", J. Math. Anal. Appl. 290 (2004) 247-262. (Pubitemid 38236215)