Detection of noise effect on coupled neuronal circuits

The Hindmarsh-Rose neuron mode can reproduce the main properties of neuronal activity, and it is effective for dynamical investigation. Neuronal activity can also be verified by using realistic circuits mapped from the theoretical neuronal models. The mode of electrical activity of each neuron is dependent on the external forcing, connection coupling between neurons and noise in the network or external uncertain driving. It is challenging to design reliable but practical artificial neuronal circuits to study the transition of electrical activities of neurons. In this paper, an artificial practical circuit is fabricated to reproduce the electrical activity of neuron with different discharge modes, and detailed elements for this circuit are presented. Additive noise is imposed on single neuronal circuit and the coupled neuronal circuits, and then the noise-induced transition of electrical activity and the occurrence for synchronization between neuronal circuits under optimized noise (moderate noise intensity) are investigated. It is found that noise is helpful to activate quiescent neuronal circuit, and also possible to induce synchronization between coupled neuronal circuits. And this practical neuronal circuit is helpful for further study of collective behaviors of coupled neuronal network.