For Hénon map,1) Find the fixed points of periods one and two for the Hénon map. 2) Investigate the bifurcation diagrams for the Hénon map by plotting the x_n values as a function of α for β = 0.4. 3) Write a Matlab or Maple program to compute the Lyapunov exponents of the Hénon map where α=1.2 and β = 0.4. 4) Use the OGY algorithm to stabilize a point of period one in the Hénon map where α=1.2 and β = 0.4.

22.docx

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