2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76385We 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 figuresDynamical Systemstext