Lyapunov Archives - ESSAY MAMBA

Write an evidence that the invariant measure of the chaos generated by the map f (x) is μ(x) ≡ 1, and convincingly prove that the Lyapunov exponent is λ = −a ln(a) − (1 − a) ln(1 − a)

By EzekielPosted on December 22, 2021Posted in Math/Physic/Economic/Statistic ProblemsTagged collegeessays, essayhelp, histogram, Lyapunov, phenomenology

1. Consider the system(xn+1yn+1)= L(f (xn)f (yn)), with L =[1 − ǫ ǫǫ 1 − ǫ]. (1)andf (x) ={x/a, 0 ≤ x ≤ a(1 − x)/(1 − a), a < x ≤ 1. (2)Prove that the invariant measure of the chaos generated by the map f (x) is μ(x) ≡ 1,and convincingly prove that the […]