Partial synchronization of Hindmarsh-Rose neurons via active disturbance rejection control

The partial synchronization of two Hindmarsh-Rose (HR) neurons without coupling via active disturbance rejection control is investigated in this paper. As the external direct current changes, the single HR neuron exhibits various dynamical behaviors, such as resting potential state, bursting, chaos, spiking and so on. When each neuron is in chaotic state, the synchronization will occur only if the coupling between them exists and the coupling strength satisfies some condition. For non-coupled HR neurons, we adopt the active disturbance rejection control approach to achieve the partial synchronization. The simulation results demonstrate the effectiveness of the proposed method.