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

Fill in the missing algebraic steps in the concrete renormalization 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 using the fact that p is a fixed point of f^2

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ANSWER:

Colby Messinger answered 2 years ago

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

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.

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