Consider the recursive equation (8.47) pe t+1 = (1 )pe t + a b arctan(pe t) b Let a = 0.8, b

Consider the recursive equation (8.47)

pe t+1 = (1 − λ)pe t +

λa b − λ arctan(µpe t)

b Let a = 0.8, b = 0.25 and µ = 4.

Construct a bifurcation diagram for pe against λ for the interval 0.15 ≤ λ ≤ 0.75. Comment on your results.