The Mandelbrot set is the shadow of a Julia set
Dynamical Systems
2019-09-25 v1 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.1909.11066,
title = {The Mandelbrot set is the shadow of a Julia set},
author = {Francois Berteloot and Tien-Cuong Dinh},
journal= {arXiv preprint arXiv:1909.11066},
year = {2019}
}