Bifurcation detection of a neutral-type fractional-order delayed neural network via stability switching curve

This paper proposes an analysis with respect to the Hopf bifurcation problem of a class of fractional-order delayed neutral-type neural networks (FODNTNNs). We adopt the stability switching curve to handle the situation where two delays change simultaneously, which differs from the approaches mentioned in the existing papers that fix or convert certain delays into a single delay. We also establish corresponding bifurcation theory to provide direction for stability switching. Additionally, owing to the challenging nature of simulation analyses, there have been limited achievements in the bifurcation analysis of FODNTNNs. However, we successfully overcome this challenge by conducting comprehensive data simulations. At length, we present two numerical simulations to corroborate the authority of the developed theory.