Figure 6

Impacts of parameter mismatch on synchronization. Two types of parameter mismatch are considered for the toy network in Fig. 1: in the coupling strength and in the time delay. The values of these two parameters associated with the synaptic connections are fixed at (w, τ) = (1, 4), whereas those of the autaptic connection, denoted as w _aut and τ _aut , respectively, are varied. (a) For fixed τ _aut  = 4, the network synchronization error 〈δx〉 versus w _aut , where 〈δx〉 = 0 for w _aut  > 0.3. (b) For w _aut  = 0.1, the neurons are desynchronized. (c) For w _aut  = 0.5, the neurons are completely synchronized. (d) For fixed w _aut  = 1, 〈δx〉 versus Δτ = τ _aut − τ _aut . The neurons are desynchronized when Δτ is large (e) but they are well synchronized when Δτ is small (f).