Synchronization and clustering of pulse-coupled oscillatory neurons has been investigated. Though the leaky integrate-and-fire neurons have widely been used in the analyms, they have some implausible properties which allow neurons to synchronize through unrealistic mechanisms. In the present report, we examine the collective behavior of pulse-coupled FitzHugh-Nagumo neurons using the phase reduction method. We show that the neurons tend to synchronize to form a fully synchronous state or a small number of clusters We alto analyze the stable behavior of two pulse-coupled neurons analytically.
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