TY - JOUR AU - Mahmoud, Emad E. AU - Jahanzaib, Lone Seth AU - Trikha, Pushali AU - Almaghrabi, Omar A. PY - 2021 DA - 2021/02/25 TI - Analysis and control of the fractional chaotic Hopfield neural network JO - Advances in Difference Equations SP - 126 VL - 2021 IS - 1 AB - The fractional Hopfield neural network (HNN) model is studied here analyzing its symmetry, uniqueness of the solution, dissipativity, fixed points etc. A Lyapunov and bifurcation analysis of the system is done for specific as well as variable fractional order. Since a very long time ago, HNN has been carefully studied and applied in various fields. Because of the exceptional non-linearity of the neuron activation function, the HNN system is stoutly non-linear. Chaos control using adaptive SMC considering disturbances and uncertainties is done about randomly chosen points by designing suitable controllers. Numerical simulations performed in MATLAB verify the efficacy of the designed controllers. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-021-03285-0 DO - 10.1186/s13662-021-03285-0 ID - Mahmoud2021 ER -