Hopf Bifurcation in Fractional-Order Recurrent Neural Networks

摘要

In this paper, we propose a fractional-order recurrent neural network and study the dynamics of such a network, such as the stability and Hopf bifurcations. We determine the stability domain of the trivial steady state with respect to network parameters and orders. Then, we identified the critical values of the fractional order, where Hopf bifurcations occur and a family of oscillations bifurcate from the trivial steady state.