Controlling Chaos For Chaotic Fractional 3-Neuron Hopfield Neural Network System With Delay

In this paper, we introduce the delayed chaotic fractional Hopfield neural network system with the regularized Prabhakar derivative. We then present a theorem for stability of the delayed fractional system with the regularized Prabhakar derivative. Next, a linear feedback technique is designed to control and stabilize the chaotic behavior of the system and obtain the control parameters by presented theorem. Further, we show dynamical behaviors such as stability and chaotic attractors by numerical simulation.

Keywords:

Control , chaos , fractional system , stability , delay