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

Figure 12

For 𝛼=1.3 and 𝛽=1.2 we make 200000 iterations and draw the last 100000 in the 𝑋𝑌 axis. We take initial conditions 𝑥₀=1/𝛽 in both cases and 𝑦₀=0.001 for (a) and 𝑦₀=(𝑔_𝛽∘𝑓_𝛼)(0.001) for (b).

(a)

(b)