Abstract: This paper researched about the chaotic synchronization of star-shaped neural network which is made up of HindmarshRose (HR) neuron models through theoretical analysis and numerical simulation, by making use of stability criterion (SC) method, and configuring a special term as coupling function. Also the paper derived error development equations between different neuron models, on this basis. It estimated the coupling strength range in which the neural network can synchronize. By changing the coupling strength,  the synchronization processes were observed and at last, we make a conclusion about the influence of chaotic synchronization which is determined by different coupling strength, was made.
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Key words: chaotic synchronization, H-R neuron, star-shaped network, stability criterion method, coupling strength