18 citations · 19 across the 4 of their papers we have counts for
4 papers
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…
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,…
The Role of Constraints in a Segregation Model: The Symmetric Case
D. Radi, L. Gardini, V. Avrutin
In this paper we study the effects of constraints on the dynamics of an adaptive segregation model introduced by Bischi and Merlone (2011). The model is described by a two dimensio…
Remarks on the paper "Non-existence of Shilnikov chaos in continuous-time systems"
L. Gardini, D. Radi
The present note refers to a result proposed in [Elhadj and Sprott, 2012], and shows that the Theorem therein is not correct. We explain that a proof of that Theorem cannot be give…