Figure 8

The average length \(\langle \ell \rangle \) and the maximum length \(\langle \ell _{\max } \rangle \) of state-transition sequences of a random network (\(\langle w_{ij} \rangle =0\), \({\text{std}} (w_{ij} )=N^{-1/2}\)) scale with the network size N. Rows 1 and 2: The average length \(\langle \ell \rangle \) (open circles) and the maximum length \(\langle \ell _{\max } \rangle \) (open diamonds) vs N. Panels (a1) and (b1): Fixed random half of units in the network (\(p=0.5\)) receive identical inputs. Color codes indicate combinations of self-coupling strength \(w_{{\text{self}}}\) and synaptic depression. Panels (a2) and (b2): Same as (a1) and (b1) except all units in the network receive identical input (\(p=1\)). Panels (a3) and (b3): Same as (a2) and (b2) except that \(I_{{\text{app}}}\) is drawn from an exponential distribution with the same mean as (a2) and (b2). The duration and the amplitude of stimuli are fixed (\(\tau _{{\text{dur}}}=25\), \(I_{{\text{app}}}=1.5\)) in all cases