Évènement

Danilo Caprio
I2M, Aix-Marseille Université
https://www.researchgate.net/profile/Danilo_Caprio

Date(s) : 10/05/2019   iCal
11h00 - 12h00

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 $-1<c<0$, the forward filled Julia set of $f$ is the union of stable manifolds of fixed and $3-$periodic points of $f$. Furthermore, we prove that the backward filled Julia set of $f$ is the union of unstable manifolds of the saddle fixed and $3-$periodic points of $f$.
We 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 $|d|<1$.

https://arxiv.org/search/math?searchtype=author&query=Caprio%2C+D

https://www.researchgate.net/profile/Danilo_Caprio

Catégories

• Séminaire