6 citations · 13 across the 5 of their papers we have counts for
5 papers
Weak dissipation drives and enhances Wada basins in three-dimensional chaotic scattering
Diego S. Fernández, Jesús M. Seoane, Miguel A. F. Sanjuán
Chaotic scattering in three dimensions has not received as much attention as in two dimensions so far. In this paper, we deal with a three-dimensional open Hamiltonian system whose…
Ergodic decay laws in Newtonian and relativistic chaotic scattering
Diego S. Fernández, Álvaro G. López, Jesús M. Seoane +1
In open Hamiltonian systems, the escape from a bounded region of phase space according to an exponential decay law is frequently associated with the existence of hyperbolic dynamic…
An Independence Test Based on Recurrence Rates. An empirical study and applications to real data
Juan Kalemkerian, Diego Fernández
In this paper we propose several variants to perform the independence test between two random elements based on recurrence rates. We will show how to calculate the test statistic i…
Transient chaos under coordinate transformations in relativistic systems
D. S. Fernández, Á. G. López, J. M. Seoane +1
We use the Hénon-Heiles system as a paradigmatic model for chaotic scattering to study the Lorentz factor effects on its transient chaotic dynamics. In particular, we focus on how…
An Independence Test Based on Recurrence Rates
Juan Kalemkerian, Diego Fernández
A new test of independence between random elements is presented in this article. The test is based on a functional of the Cramér-von Mises type, which is applied to a -process t…