Hopfield neuronal network of fractional order: A note on its numerical integration

In this paper, the commensurate fractional-order variant of an Hopfield neuronal network is analyzed. The system integrated with ABM method for equations. Beside standard stability analysis equilibria, divergence fractional order proposed to determine instability equilibria. bifurcation diagrams versus order, and one parameter, reveal a strange phenomenon suggesting that branches generated by initial conditions outside neighborhoods unstable equilibria are spurious sets although they look similar those close These ``delayed'' in considered scenario. Once integration step-size reduced, maintain their shapes but tend obtained from condition within While move once step size reduces, near positions space. This does not depend on integration-time interval, repeats parameter