S. Bonnot

activity

20102016

collaborators

3 papers

math.DS2016

Julia sets for Fibonacci endomorphisms of $C^{2}$ and $R^{2}$

S. Bonnot, A. de Carvalho, A. Messaoudi

We study the dynamics of the family $f_{c} (x, y) = (x y + c, x)$ of endomorphisms of $R^{2}$ and $C^{2}$ , where $c$ is a real or complex parameter. Such maps can be seen as…

math.DS2013

On the Fibonacci complex dynamical systems

El Houcein El Abdalaoui, Sylvain Bonnot, Ali Messaoudi +1

We consider in this paper a sequence of complex analytic functions constructed by the following procedure $f_{n} (z) = f_{n - 1} (z) f_{n - 2} (z) + c$ , where $c\in\C$ is a parameter. Our aim is…

math.DS2010

Geometrization of postcritically finite branched coverings

Sylvain Bonnot, Michael Yampolsky

We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K.~Pilgrim. We show that every hyperbolic cycle in the decomposition do…

Julia sets for Fibonacci endomorphisms of C2 and R2

On the Fibonacci complex dynamical systems

Geometrization of postcritically finite branched coverings

Julia sets for Fibonacci endomorphisms of $C^{2}$ and $R^{2}$