On the hyperbolicity of the Feigenbaum fixed point

Abstract

We show the hyperbolicity of the Feigenbaum fixed point using the inflexibility of the Feigenbaum tower, the Mane-Sad-Sullivan $\lambda$-Lemma and the existence of parabolic domains (petals) for semi-attractive fixed points.

11 pages, including the note "Infinitesimal contraction of the Feigenbaum renormalization operator in the horizontal direction", posted by the same author

References in corpus (1)

• Puzzle geometry and rigidity: The Fibonacci cycle is hyperbolic

Cited by in corpus (5)

• Linear response formula for piecewise expanding unimodal maps
• On the susceptibility function of piecewise expanding interval maps
• Puzzle geometry and rigidity: The Fibonacci cycle is hyperbolic
• Asymmetric unimodal maps with non-universal period-doubling scaling laws
• Renormalization for critical orders close to 2N