Abstract:
Synchronization phenomenon is one of the most fundamental properties in the field of neurosciences, and it plays a key role in
several neuronal processes. In this paper, we report a neural synchrony
in a multiplex neuronal network by simultaneously taking electrical
and chemical synaptic interactions. Most of the previous studies on
the neuronal synchrony have been focused on a mono-layer network
by solely considering one type of neuronal communication, either electrical or chemical synaptic coupling. Here we consider the multiplex
network where the connection within the layer (intralayer connection)
and the layer–layer interaction (interlayer connection) links are associated with the electrical and chemical synapses respectively. The
network topology in each layer is represented by the small-world network. We mainly explore intralayer synchronization in the multiplex
network under the simultaneous effect of both synaptic interactions.
Intralayer synchronization is a distinctive process that refered to coherence among the nodes within the layer irrespective of the coherence
between the replica nodes. Through the master stability approach, we
derive the necessary condition for the intralayer synchronization state
and then we numerically confirm our analytical findings.
