Electrical activity and synchronization of HR-tabu neuron network coupled by Chua Corsage Memristor

The processing and transmission of biological neural information are jointly completed by the electromagnetic activities of neurons in different brain regions. And memristor is the appropriate candidate for mimicking synapse due to its unique memory function and synapse-like plasticity. Therefore, it is of great significance to explore the electrical behavior of heterogeneous neuron network coupled by memristor. This paper focuses on the electrical activity and synchronization of a bi-neuron network (HR-tabu neuron network) built by coupling Hindmarsh–Rose and tabu learning models with Chua Corsage Memristor (CCM). The electrical activities of HR-tabu network, such as spiking discharge and bursting discharge, are revealed under appropriate external stimuli and coupling strength. Interestingly, we find that the initial value-related state switching of HR-tabu network is associated with the equilibrium states of CCM. In addition, the synchronization behavior of HR-tabu network depending on the coupling strength, external stimuli and system parameters is investigated in detail by analyzing the phase difference and synchronization factor. It is shown that phase synchronization of HR-tabu neuron network can be achieved under small coupling strength, and that complete synchronization can be achieved when the coupling strength is large enough. The obtained results provide possible guidance for regulating the firing activity and synchronous behavior of artificial neurons, and therefore have potential applications in brain science and biomimetics.