A stabilization approach for a novel chaotic fractional-order discrete neural network
Abstract
This paper aims to make a contribution to the topic of the stabilization of chaotic dynamics in fractional-order discrete systems by presenting a novel three-dimensional fractional-order discrete neural network formulated by the h-fractional difference operator. A novel theorem is illustrated with the aim of stabilizing the chaotic trajectories of the three-dimensional fractional-order discrete neural network at zero through proposing a quite simple linear control laws. Finally, certain simulation results are carried out to highlight the effectiveness of the stabilization approach proposed herein.
Copyright © 2021 Iqbal M. Batiha, Adel Ouannas, Janat A. Emwas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
I. M. Batiha, A. Ouannas, J. A. Emwas, A stabilization approach for a novel chaotic fractional-order discrete neural network, J. Math. Comput. Sci. 11 (2021), 5514–5524. https://doi.org/10.28919/jmcs/6004
BibTeX
@article{Batiha2021,
author = {Batiha, Iqbal M. and Ouannas, Adel and Emwas, Janat A.},
title = {A stabilization approach for a novel chaotic fractional-order discrete neural network},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {5514--5524},
doi = {10.28919/jmcs/6004}
}