Figure 8.

Trajectories and parameter sweeping speed. (A) Time evolution of X₁ and X₂ in the asymmetric supercritical pitchfork bifurcation. (B) The effect of increasing the speed of crossing the critical region on the distribution of trajectories in the attractors for 10000 iterations. As the speed is increased, the ratio R changes from 1 to 0. Hence, increasing the speed causes a large switch from the favorable attractor to the other one. Parameters are a₁ = 0.2, a₂ = 0.01, k₁ = 1, k₂ = 1.1, n = 4, r = 0.5. Also, in (A) σ² = 0.01, (B) σ² = 0.5.