We study the synchronization phenomena in a pair of Hindmarsh-Rose(HR) neurons that connected by electrical coupling and chemical coupling and combinations of electrical and chemical coupling. We find that excitatory synapses can antisynchronize two neurons and enough strong inhibition can foster phase synchrony. Investigating the affection of combination of chemical and electrical coupling on network of two HR neurons shows that combining chemical coupling and positive electrical coupling can promotes phase synchrony, and conversely, combining chemical coupling and negative electrical coupling can promotes antisynchrony.
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