Fill in the missing algebraic steps in the concrete renormalization calculation for period doubling.Let f(x) =...

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Fill in the missing algebraic steps in the concreterenormalization calculation for period doubling.Let f(x) = -(1 +mu)x+x^2. Expand p+(n)subn+1 =

f^2(p+(n)subnetting) in power of small deviations (n) subn usingthe fact that p is a fixed point of f^2

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