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In this paper, we approximate a nonautonomous neural network with infinite delay and a Heaviside signal function by neural networks with sigmoidal signal functions. We show that the solutions of… Click to show full abstract
In this paper, we approximate a nonautonomous neural network with infinite delay and a Heaviside signal function by neural networks with sigmoidal signal functions. We show that the solutions of the sigmoidal models converge to those of the Heaviside inclusion as the sigmoidal parameter vanishes. In addition, we prove the existence of pullback attractors in both cases, and the convergence of the attractors of the sigmoidal models to those of the Heaviside inclusion.
Keywords:
nonautonomous neural;
infinite delay;
network infinite;
neural network;
delay heaviside
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!