Please use this identifier to cite or link to this item: https://doi.org/10.3934/dcds.2020262
Title: The mandelbrot set is the shadow of a julia set
Authors: Berteloot, F.
Dinh, T.-C. 
Keywords: Bifurcation
Equilibrium measure
Green current
Julia set
Mandelbrot set
Issue Date: 2020
Publisher: American Institute of Mathematical Sciences
Citation: Berteloot, F., Dinh, T.-C. (2020). The mandelbrot set is the shadow of a julia set. Discrete and Continuous Dynamical Systems- Series A 40 (12) : 6611-6633. ScholarBank@NUS Repository. https://doi.org/10.3934/dcds.2020262
Rights: Attribution 4.0 International
Abstract: Working within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the set 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. © 2020 American Institute of Mathematical Sciences. All rights reserved.
Source Title: Discrete and Continuous Dynamical Systems- Series A
URI: https://scholarbank.nus.edu.sg/handle/10635/199319
ISSN: 10780947
DOI: 10.3934/dcds.2020262
Rights: Attribution 4.0 International
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