  A great deal of research has been devoted on the investigation of neural
dynamics in various network topologies. However, only a few studies have
focused on the influence of autapses, synapses from a neuron onto itself via
closed loops, on neural synchronisation. Here, we build a random network with
adaptive exponential integrate-and-fire neurons coupled with chemical synapses,
equipped with autapses, to study the effect of the latter on synchronous
behaviour. We consider time delay in the conductance of the pre-synaptic neuron
for excitatory and inhibitory connections. Interestingly, in neural networks
consisting of both excitatory and inhibitory neurons, we uncover that
synchronous behaviour depends on their synapse type. Our results provide
evidence on the synchronous and desynchronous activities that emerge in random
neural networks with chemical, inhibitory and excitatory synapses where neurons
are equipped with autapses.
