Figure 11.

Trajectories and effect of the external signaling speed. In (A,C) the time evolution of X₁ and X₂ under the effect of linear and adaptation form of signals is shown, respectively. The values of X₁ increase and the values of X₂ decrease because S₁ is chosen to be faster than S₂. Hence, trajectories choose the attractor which has a larger value of X₁. (B) The effect of increasing the speed of linear form of signals for 1000 iterations. As the speed is increased, the ratio R tends to 0.5. Thus, increasing the speed increases the symmetry in the switch. (D) The effect of speed with the adaptation form of signals. Decreasing the speed gives ratio R tending to 0.5. Surprisingly, now decreasing the speed increases the symmetry in the switch. Parameters in (A), (B) are A = 2.5, S_max = 10, (C,D) h₁ = h₂ = 10, v = 10, and for all we have a₁ = a₂ = 0.05, b₁ = b₂ = 0.45, r = 0.5, k₁ = k₂ = 1.