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Nonlinear Dynamics and Chaos problem 10.7.10 Fill in the missing algebraic steps in the concrete renormalization calculation...

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Advance Math

Nonlinear Dynamics and Chaos problem 10.7.10

Fill in the missing algebraic steps in the concreterenormalization calculation for period doubling.Let f(x) = -(1 +mui)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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