In: Advanced Math
Nonlinear Dynamics and Chaos problem 10.7.10
Fill in the missing algebraic steps in the concrete renormalization 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 using the fact that p is a fixed point of f^2.