A. Garijo

activity

19962026

most citedOn a Family of Rational Perturbations of the Doubling Map

11 citations · 51 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.DS2020

On the separatrix graph of a rational vector field on the Riemann sphere

Kealey Dias, Antonio Garijo

We consider the rational flow $ξ_{R} (z) = R (z) (d / d z)$ where $R$ is given by the quotient of two polynomials without common factors on the Riemann sphere. The separatrix graph $Γ_{R}$ i…

math.DS2020

Topological properties of the immediate basins of attraction for the secant method

Laura Gardini, Antonio Garijo, Xavier Jarque

We study the discrete dynamical system defined on a subset of $R^{2}$ given by the iterates of the secant method applied to a real polynomial $p$ . Each simple real root $α$ of $p$ ha…