Computation of the Feigenbaum delta Compute the Feigenbaum delta from the logistic map. The logistic map is given by Xi+1= #C(1 - x). and the Feigenbaum delta is defined as mn-1-mn-2 8 = lim 8, where 8 = mn-mn-1 and where m, is the value of μ for which xo = 1/2 is in the orbit of the period- N cycle with N = 2". Here is a resonable outline: Loop 1 Start at period-2" with n = 2, and increment with each iteration Compute initial guess for m, using m-1, m-2 and 8-1- Loop 2 Iterate Newton's method, either a fixed number of times or until convergence Initialize logistic map Loop 3 Iterate the logistic map 2" times Computex and x Loop 3 (end) One step of Newton's method Loop 2 (end) Save m, and compute 8, Loop 1 (end) Grading will be done on the converged values of 8, up to n = 11. Set 8₁ = 5. 00+-11 My Solutions > Script Save 1 % Compute the Feigenbaum delta 2 % Store approximate values in the row vector delta for assessment, where length(delta)= num_doublings and 3 % delta (2:num_doublings) are computed from the algorithm described in Lectures 21-23. 4 num_doublings=11; delta-zeros (1, num_doublings); delta(1)=5; 5 % Write your code here 6 7 8 9 10 11 12 13 14 15 16 17 % Output your results 18 fprintf('n 19 for n=1:num_doublings 20 21 end 22 delta(n)\n'); fprintf('%2g %18.15f\n', n, delta (n)); C Reset EE MATLAB Documentation ▶ Run Script ?