Border Collision Bifurcations in a Generalized Model of Population Dynamics

Figure 3

(a) One-dimensional bifurcation diagram for and : for a given initial condition the system converges to or to as is increased. (b) . Before the flip bifurcation at , (white point) is locally stable and it coexists with a stable 2-period cycle (black points): their basins are depicted in green and orange, respectively. (c) . Immediately before the flip bifurcation the two coexisting attractors are depicted together with their own basins.

(a)

(b)

(c)