Geometry of the Feigenbaum map

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We show that the Feigenbaum-Cvitanovic equation can be interpreted as a linearizing equation, and the domain of analyticity of the Feigenbaum fixed point of renormalization as a basin of attraction. There is a natural decomposition of this basin which enables to recover a result of local connectivity by Jiang and Hu for the Feigenbaum Julia set.
14 pages, 7 figures

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Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/76385

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9711216
 http://arxiv.org/abs/math/9711216

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arXiv