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Bidirectional Chaotic Synchronization of Hindmarsh-Rose Neuron Model

In this paper, the bursting chaotic synchronization of two neurons coupled with gap junction in the condition of external electrical stimulation is investigated. In this paper, the coupled model is established on the basis of Hindmarsh-Rose neuron model, and then the relation of bidirectional coupling strength of the gap junction and the synchronization is discussed in detail. The sufficient condition of complete synchronization is obtained from rigorous mathematical derivation. The synchronizations of periodic neurons and chaotic bursting neurons are studied, respectively.