Before revision:  Such models are then often approximated by replacing the random network by ans-R\'enyi (ER) networks, regular random (RR) networks, ring lattices, and } all-to-all network, where every neuron is connected to all other neurons. This mean-field approximation is a common approach in statistical physics. In this paper we show that such approximation can be invalid .
After revision:  Such models are then often approximated by replacing the random network by ans-R\'enyi (ER) networks, regular random (RR) networks, ring lattices, and } all-to-all networks .