Bifurcations in Class 1 neuron models interconnected by inhibitory and electrical synapses

Electrical coupling has been discovered extensively between FS neurons in the neocortex. They are also coupled by bi-directional or uni-directional inhibitory synapses. However, the relationship between collective activity in interneuronal circuits and different functions of their coupling have not been revealed perfectly. To clarify the above problem, we investigate bifurcation phenomena in coupled neuron models and spatio-temporal dynamics in large scale network, which consist of two-dimensional Hindmarsh-Rose type models connected by gap junction and inhibitory synapses. As a result, we show inand anti-phase solutions and complex behavior in coupled neurons. By the interaction between electrical and inhibitory synapses, moreover, spatio-temporal complex behavior occurs in large scale network.