TITLE:
Existence of Periodic Solutions for an Output Hidden Feedback Elman Neural Network
AUTHORS:
Valéry Covachev, Zlatinka Covacheva
KEYWORDS:
Elman Neural Network, Periodic Input and Output, Mawhin’s Continuation Theorem
JOURNAL NAME:
Journal of Software Engineering and Applications,
Vol.13 No.12,
December
31,
2020
ABSTRACT:
We first recall the sufficient conditions for the existence of a periodic output of a modified Elman neural network with a periodic input found by using Mawhin’s continuation theorem of coincidence degree theory. Using this result, we obtain sufficient conditions for the existence of a periodic output for an output hidden feedback Elman neural network with a periodic input. Examples illustrating these sufficient conditions are given.