Convergence and Periodicity in a Discrete-Time Network of Two Neurons with Self-Connections

Computers and Mathematics with Applications

Volumn 46, Issue 8-9, 2003, Pages 1337-1345

  Yuan, Zhaohui ^a   Huang, Lihong ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Convergence; Difference system; Neural network; Periodicity

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; FEEDBACK; NEURAL NETWORKS; SET THEORY; THEOREM PROVING;

DIFFERENCE SYSTEMS;

COMPUTATIONAL METHODS;

EID: 0345328089     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90223-9     Document Type: Article

References (10)

1. Y. Chen and J. Wu, The asymptotic shapes of periodic solutions of a singular delay differential system, Journal of Differential Equations 169, 614-632, (2001).
2. T. Faria, On a planar system modeling a neuron network with memory, Journal of Differential Equations 168, 129-149, (2000).
3. K. Gopalsamy and I. Leung, Delay induced periodicity in a neural network of excitation and inhibition, Physica D 89, 395-426, (1996).
4. S.J. Guo and L.H. Huang, Asymptotical behavior of a network of two neurons, J. Basic Science and Engineering 9, 111-119, (2001).
5. J.J. Wei and S.G. Ruan, Stability and bifurcation in a neural network model with two delays, Physica D 130, 255-272, (1999).
6. K. Pakdaman, C.P. Malta, C. Grotta-Ragazzo, O. Arino and J.-F. Vibert, Effect of delay on the boundary of the basin of attraction in a system of two neurons, Neural Networks 11, 509-519, (1998).
7. L.H. Huang and J. Wu, The role of threshold in preventing delay-induced oscillations of frustrated neural networks with McCulloch-Pitts nonlinearity, Game Theory and Algebra 11 (6), 71-100, (2001).
8. L.H. Huang and J. Wu, Dynamic of inhibitory artificial neural networks with threshold nonlinearity, Fields Institute Communications 29, 235-243, (2001).
9. Z. Zhou, J.S. Yu and L.H. Huang, Asymptotic behavior of delay difference systems, Computers Math. Applic. 42 (3-5), 283-290, (2001).
10. Z.H. Yuan, L.H. Huang and Y.M. Chen, Convergence and periodicity of solutions for a discrete-time network model of two neurons, Mathl. Comput. Modelling 35 (9/10), 941-950, (2002).