2 papers
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 given by the iterates of the secant method applied to a real polynomial . Each simple real root of ha…
nlin.CD2018
A route to chaos in the Boros-Moll map
Laura Gardini, Víctor Mañosa, Iryna Sushko
The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper,…