Julia sets for a class of polynomial maps in R^2 and C^2

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Date/heure
Date(s) - 10/05/2019
11 h 00 min - 12 h 00 min

Catégories Pas de Catégories

In this lecture we consider a class of endomorphisms of $\mathbb{R}^2$ defined by $f(x,y)=(xy+c,x)$, where $c\in\mathbb{R}$ is a real number and we prove that when $-1We also study the dynamics of the family$f_{c,d}(x, y) = (xy+c, x+d)$of endomorphisms of$\mathbb{C}^2$, where$c$and$d$are complex parameters with$|d|<1\$. Webpage« >Webpage