FEIGENBAUM’S CONSTANT: a) Let qc(x) = + c and define Cn to be the parameter value at which the period attracting periodic point of qc splits into a period attracting periodic point. Estimate Cn for n 6. Hint: One way to do this is to use the fact that the critical point of h(x) converges to the attracting periodic orbit under iteration of h(x). By using care, we can determine at which parameter values period doubling occurs and new attracting periodic orbits appear.
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