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Existence of Periodic Solutions for an Output Hidden Feedback Elman Neural Network
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
- 1 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
- 2 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Journal of Software Engineering and Applications·Volume 13 (2020)·Pages 348–363·Published 23 December 2020·DOI10.4236/jsea.2020.1312023
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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.
KeywordsElman Neural NetworkPeriodic Input and OutputMawhin’s Continuation Theorem
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