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

Figure 2

Two-dimensional bifurcation diagram on the -parameter plane for map at , , , and . Different colors are related to attracting cycles of different periods ; the white region corresponds either to chaotic attractors or to cycles of higher periods. In particular, the dark-green regions represent the set of values at which the equilibria of segregation are stable. For parameters in the yellow region besides the two equilibria of segregation there exists also the superstable fixed point . For parameters in the orange region, is a stable fixed point, coexisting with the two stable equilibria of segregation.