THE MANDELBROT SET IS THE SHADOW OF A JULIA SET
Résumé
Working within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the seat of bifurcations as the projection of a Julia set of a complex dynamical system in dimension three. We expect our approach to be extendable to other holomorphic families of dynamical systems. MSC 2010: 37Fxx, 32H50.
Origine : Fichiers produits par l'(les) auteur(s)
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