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

Abstract

This paper describes a new four-dimensional fractional discrete neural network with electromagnetic 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 numerical 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 parameters, the commensurate order, the incommensurate order and the variable order. Moreover, the approximate 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.

Keywords

• Fractional discrete neural network model
• Incommensurate order
• Variable order
• Chaotic dynamics
• Control
• Synchronization