The new fractional discrete neural network model under electromagnetic radiation: Chaos, control and synchronization

This paper describes a new four-dimensional fractional discrete neural network with electro-magnetic radiation model. In addition, the non-linear dynamics of the suggested model are examined, within the framework of commensurate, incommensurate and variable orders, through different numer-ical techniques such as Lyapunov exponent, phase portraits, bifurcation diagrams, and the 0-1 test method. The results imply that The behaviours of the proposed fractional discrete neural network model have rich and complex dynamical properties that are influenced by the variation of the system parame-ters, the commensurate order, the incommensurate order and the variable order. Moreover, the approx-imate entropy test and Co algorithm are carried out to measure complexity and validate the presence of chaos. Finally, nonlinear controllers are illustrated to stabilize and synchronize the proposed model. & COPY; 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).