The Role of Constraints in a Segregation Model: The Asymmetric Case

Figure 4

Parameters: , , , , , and . Panel (a), phase space divided in regions , . Panel (b), the green (resp., azure) region is the basin of attraction of the superstable equilibrium of segregation (resp., ), the red region is the basin of attraction of the equilibrium of nonsegregation and the white region is the basin of attraction of the stable 2-cycle born through a nonsmooth saddle-node bifurcation. In the first two Panels, and are the dark-green curves and and the dark-red curves, while and are the black curves. Panel (c) shows the restriction of the map on for in pink and first return map in black. Panel (d) shows an enlargement of the picture in Panel (c).