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(Solved): Computation of the Feigenbaum delta Compute the Feigenbaum delta from the logistic map. The logisti ...
Computation of the Feigenbaum delta Compute the Feigenbaum delta from the logistic map. The logistic map is given by and the Feigenbaum delta is defined as M-M 6=lim 6, where 6, and where is the value of for which 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 form, using m... and Loop 2 Iterate Newton's method, either a fixed number of times or until convergence Initialize logistic map Loop 3 erate the logistic map 2 times Computex and x Loop 3 (end) One step of Newton's method Loop 2 (end) Save, and compute , Loop 1 (end) Grading will be done on the converged values of up to 11. Set 6, 5. Script Save Reset 1% Compute the Feigenbaum delta 2 Store approximate values in the row vector delta for assessment, where length(delta) nun doublings and 3% delta(2:nun doublings) are computed from the algorithe described in Lectures 21-23. 4 num_doublings-11; delta-zeros (1, num_doublings); delta(1)=5; 5 Write your code here 14 15 16 17 Output your results 18 fprintf('n delta(n)\n'); 29 for n=1:num doublings 20 fprintf('%2g 18.15f\n',n,delta(n)); 21 end 22 My Solutions > mentation MATLAB Documenta