Abstract
Complete synchronization of two identical chaotic Morris–Lecar (ML) neurons with time-delay coupling is investigated. It is found that the coupled ML neurons may achieve synchronization by an efficient time delay at a low coupling strength. At the same time, the chaotic motion of the coupled neurons may become a regular periodic one during synchronization by the time-delay coupling, that is, the delay time coupling is able to suppress chaos in the process of synchronization. However, the time delay has the effect on enhancement of synchronization and regularization of coupled neurons only in certain coupling strength ranges. Moreover, synchronization of coupled neurons is achieved by time delay after regularization.