13 citations · 15 across the 5 of their papers we have counts for
5 papers
Bayesian Basin Tracking: Efficient Global Continuation of Multistable Dynamical Systems
Pedro Haerter, Alexandre Wagemakers, Alvar Daza +1
Mapping the global phase space of high-dimensional multistable dynamical systems is computationally prohibitive because conventional approaches require extensive numerical integrat…
Unpredictability and basin entropy
Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
The basin entropy is a simple idea that aims to measure the the final state unpredictability of multistable systems. Since 2016, the basin entropy has been widely used in different…
Controlling two-dimensional chaotic transients with the safety function
Rubén Capeáns, Miguel A. F Sanjuán
In this work we deal with the Hénon and the Lozi map for a choice of parameters where they show transient chaos. Orbits close to the chaotic saddle behave chaotically for a while t…
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…
Classifying basins of attraction using the basin entropy
Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
A basin of attraction represents the set of initial conditions leading to a specific asymptotic state of a given dynamical system. Here, we provide a classification of the most com…