Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model

Figure 7

We draw a sample of 100 points of three orbits with initial values 0.25, 0.5, and 1 when the parameter values are 𝛼=1.8 and 𝛽=1.85. The picture shows the convergence to a two-periodic orbit which maps 0.033582 to 0.000140067 and vice versa.