Dynamics analysis of fractional order three-dimensional Hopfield neural network

Fractional order three-dimensional Hopfield neural network are considered. The dynamic behaviors of fractional order differential systems have received increasing attention in recent decades. In this paper, a fractional order financial system is proposed. This system displays many interesting dynamic behaviors, such as stability and chaos. We first consider the properties of stability and chaos of fractional order three-dimensional Hopfield neural network, and than investigate the differences from the integer order one by using the qualitative theory. Finally, we give some numerical simulations are carried out to illustrate the obtained results.