Study on synchrony of two uncoupled neurons under the period signal stimulation

摘要

The input current of two uncoupled Hindmarsh-Rose neurons under different initial conditions is modulated by the membrane potential's period signals, and the synchronization characteristics of the two uncoupled neurons are discussed by analyzing their membrane potentials and their interspike interval (ISI) distribution. Under the stimulation of the neuron's membrane potential whose discharge pattern is period, the two uncoupled neurons under different initial conditions can realize the full synchronization (state synchronization) or discharge synchronization (phase synchronization), and can only be synchronized to the discharge pattern of the stimulation neuron. The synchronization characteristics are mainly related to the discharge pattern and the strength of the stimulation neuron's membrane potential, and are little related to the parameters and the initial state of the two uncoupled neurons. This investigation shows the characteristics of the period signals affecting the synchronization process of neurons, and the neurons' discharge patterns and synchronization process can be adjusted and controlled by the discharge pattern and the strength of the period signals. This result is helpful to study synchronization and encode many neurons or neural network.