The effects of synaptic time delay on motifs of chemically coupled Rulkov model neurons

摘要

Given the importance of the network motifs, we consider a pair of Rulkov chaotic map neu-rons, reciprocally coupled via symmetrical chemical synapses with the time delay τ. For the inhibitory and excitatory synapses, the system dynamics is determined by the synaptic weight g_c, synaptic gain parameter k, time delay τ and the external excitation σ. Due to chaotic nature of the map and synaptic model complexity, the appropriately averaged cross-correlation of membrane potentials represents a suitable numerical diagnostics to quantify mutual synchronization. Along with the expected phase and anti-phase synchro-nization regimes, we find the emergent phenomena that significantly influence the syn -chronization behavior.