Figure 3.

Algebraic scaling between the average transient time τ and the environmental noise amplitude σ. (a,b) Dependence of τ on σ on a logarithmic scale for the collapse and recovery processes, respectively. The values of κ are 1.65 for the collapse process and 1.5 for the recovery process. Other parameter values are α = 0.3, β = 1, h = 0.2, γ = 1 and ρ = 0.5. For each value of σ, simulations are carried out for a long time interval (T = 1000), which guarantees that the system has approached the desired stable steady state by then. For each σ value, 100 random initial conditions are chosen from the basin of the stable steady state that the systems leaves.