Bifurcation analysis as a function of input stimulus strength (D), attentional modulation (wa), and mutual inhibition (wo). The results are illustrated as 2D (D vs. wa) bifurcation diagrams. Each panel (from A to C) corresponds to a different value of mutual inhibition (wo). All of the elements in the figure depict the model behavior for dichoptic gratings, except the gray dashed curves. The areas in three different colors represent three regimes: equal activity (Left gray area corresponds to the both-down regime, and Right gray area to both-up regime), oscillation, and winner-take-all. Solid curves, boundaries between the different regimes. The red dashed line is positioned where the blue curve intersects the x axis. Right of this boundary, rivalry is absent when attention is diverted (wa = 0). The gray dashed curve indicates the boundary of the oscillatory regime (i.e., response alternations) for monocular and binocular plaids. For values of wa above this curve, the model exhibits response alterations with plaids. The green dashed line indicates the domain corresponding to the 1D bifurcation analysis in Fig. 5A. Black star, parameters used for simulations in Figs. 2–5. The solid blue curve and the solid red curve, extending vertically near the Left of B and C, are very close together. These solid blue and red curves are continuations of the same boundaries indicated in A. The blue curve is the boundary between the gray region and the blue region. The red curve is the boundary between the blue region and the pink region. The pink region in B and C, unlike in A, descends below the horizontal axis. Only the boundaries that are critical for defining different regimes are illustrated.