Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity
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Date
2003-04-22
Authors
Dai, Binxiang
Huang, Lihong
Qian, Xiangzhen
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We consider a discrete-time network system of two neurons with McCulloch-Pitts nonlinearity. We show that if a parameter is sufficiently small, then network system has a stable periodic solution with minimal period 4k, and if the parameter is large enough, then the solutions of system converge to single equilibrium.
Description
Keywords
Discrete neural networks, Dynamics
Citation
Dai, B., Huang, L., & Qian, X. (2003). Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity. <i>Electronic Journal of Differential Equations, 2003</i>(45), pp. 1-8.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.