Abstract:

The dynamic behavior of two unidirectional coupled Hindmarsh-Rose neurons under different initial conditions were numerically studied. The results show that coupling strength has important influence on synchronization between the two neurons. When control parameters are different, that is, the drive system and the response system are both chaotic and the drive system is periodic oscillating while the response system is chaotic, under these two cases, the firings of the drive system and the response system both can transition from asynchrony to phase synchronization, and then to almost complete synchronization with the increase of coupling strength.

Key words: Hindmarsh-Rose model, Unidirectional coupling, Neural system, Synchronization