Abstract
This paper studies the regulation of external stimuli on Hindmarsh-Rose(HR) neuronal systems with magnetic flow systematically. Firstly, a single HR neuronal model is analyzed and it is found that under both the constant and periodic external stimuli, HR neurons exhibit rich firing patterns and rapid transitions happen among these patterns. Then, a globally coupled neuronal network composed by 50 HR neurons with magnetic flow is set up, and the regulation effects of two forms of external stimuli on the neuronal network is studied. It is found that the amplitude and period of external current stimuli have important regulation effects on the firing frequency and synchronization of the neuronal network, which might provide certain guidance for the physiological application of external stimuli to assist the treatment of mental diseases.
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