Skip to main content
. Author manuscript; available in PMC: 2010 Oct 14.
Published in final edited form as: SIAM J Appl Dyn Syst. 2008;7(2):609–649. doi: 10.1137/070705842

Figure 9.

Figure 9

(A) The graph of W = W(u1J) for upper knees on SN computed for g = 0.5, r = 10, θ = 0.2, and S as in (2.2). At β = 0.75 (dashed-dotted curve) the maximum value of W is less than unity: Winner-take-all regime does not exist; at β = 1.1 (thick curve) the maximum value of W is larger than unity: the values of I where winner-take-all occurs correspond to u1J at points a and b. (B) Projection Γ of the curve of saddle-nodes on the slow plane (a1, a2) for β = 0.75, g = 0.5, r = 10, θ = 0.2, S as in (2.2), and two values of input I = 1.2 and I = 1; Γ moves down on the first bisector direction as I decreases. The blue side is associated to the right branch of W in panel A, from W = 0 to Wmax (an escape mechanism), and the red side is associated to the left branch of W from Wmax to 0 (a release mechanism).