Figure 10:

Fixed points of the map Π^ss (31). A–C. The creation of fixed points of the map for different sets of parameters. The surfaces ${\Pi }_1^{ss}\left(\varphi ,P\right)$ and ${\Pi }_2^{ss}\left(\varphi ,P\right)$ are drawn above and below the z = 0 plane denoted by the axes z₁ = ϕ and z₂ = P, respectively. The intersection of the surface $z_1={\Pi }_1^{ss}\left(\varphi ,P\right)$ with the plane z₁ = ϕ and the intersection of the surface $z_2={\Pi }_2^{ss}\left(\varphi ,P\right)$ with the plane z₂ = P yield the two black curves above and below the z = 0 plane. The fixed points of the maps lay on the intersection of the two fixed point curves whose projections C₁ and C₂ on the z = 0 plane are shown. There is one fixed point in A and C while there are three fixed points in B, depending on the value of the g_B→A. D. The projections of the fixed point curves, C₁ and C₂ are drawn on the same coordinate axes for three parameter sets. The curveC₁ is the same for all parameter sets while C₂ changes. Creation and annihilation of multiple fixed points with changing parameters is observed.