Fig 4. Examples of monotone parametric dependencies.

Panels (A) and (B) correspond to the unsaturated S design, while Panels (C) and (D) correspond to the saturated S design. Panels (A) and (B). The following color coding schema is used: (i) black plots are used for G-homogeneous solutions at d = 0.1; (ii) red plots are used for G-homogeneous solutions at d = 10; (iii) blue plots are used for (1:1)-mixed states at d = 0.1; and (iv) green plots are used for (9:1)-mixed states at d = 0.1. Red filled circles in panel (B), labeled with LP₁ and LP₂, correspond to Limit Point (LP) (or, equivalently, Saddle-Node) bifurcation points. Here, the blue curve connecting the origin (0, 0) and the LP₁-point corresponds to the stable branch of the (1:1)-mixed state. The green curve connecting the origin (0, 0) with the LP₂-point corresponds to the stable branch of the (9:1)-mixed state. Because the green curve was plotted after plotting the blue curve, a part of the blue curve is hidden beneath the green curve. Projections of the corresponding plots on 2D-planes often overlap, mixing different colors, which should not lead to any difficulty in recognizing similar monotone (“overlapping”) dependencies. Panels (C) and (D). The following color coding schema is used: (i) red plots correspond to stable homogeneous G-states, (ii) violet plots correspond to stable (1:1)-mixed states, and (iii) green plots correspond to stable (9:1)-mixed states. In all cases, blue plots correspond to unstable states. All red filled circles correspond to the LP bifurcations. In the panel (D), the unstable branches for both (1:1) and (9:1)-mixed states are not shown because they overlap with the stable ones.