FIG. 11.

Transient times at the bifurcation transition. Transient times (τ_T, relative to τ_h) as a function of g_h, α_r, and system size N. Dashed plot lines correspond to situations where ${\alpha }_r<{\alpha }_{r,\text{DMFT}}^{*}\left(g_h\right)$. Dashed vertical lines are critical values of α_r or g_h. (a) τ_T vs N for g_h = 1.775 and (b) τ_T vs g_h for N = 500; the dashed line indicates g_h such that ${\alpha }_{r,\text{DMFT}}^{*}\left(g_h\right)=40$. (c) τ_T vs α_r for g_h = 1.775; the dashed vertical line is ${\alpha }_{r,\text{DMFT}}^{*}(1.775)$. (d) τ_T vs g_h for α_r = 30; the dashed line is g_h such that ${\alpha }_{r,\text{DMFT}}^{*}\left(g_h\right)=30$. (e) τ_T vs N for α_r = 30; dashed plot lines correspond to situations where $30>{\alpha }_{r,\text{DMFT}}^{\ast }\left(g_h\right)$. (f) τ_T vs α_r for N = 500; the dashed vertical line is ${\alpha }_{r,\text{DMFT}}^{\ast }\left(1.85\right)$. Transient times are averaged over 2000 instances of random networks.