Chaotic synchronization in coupled neuronal circuits via a memristor

In this work, a coupling scheme of neuron models, in which a memristor has been used as an artificial synapse, is the subject of study. The proposed coupling systems are solved numerically by applying the fourth-order Runge-Kutta algorithm and various tools of nonlinear dynamics such as the phase portraits and time series have been used. As it will be presented in detail, the coupling neuronal systems show interesting dynamical behavior, such as chaotic synchronization.