3 papers
nlin.CD2025
A simple method to enlarge a basin of attraction using a memristive function
Alexandre R. Nieto, Rubén Capeáns, Miguel A. F. Sanjuán
This study presents an innovative approach to chaotic attractor stabilization introducing a memristor in discrete dynamical systems. Using the Hénon map as a test case, we replace…
nlin.CD2025
Two-Player Yorke's Game of Survival in Chaotic Transients
Gaspar Alfaro, Rubén Capeáns, Miguel A. F. Sanjuán
We present a novel two-player game in a chaotic dynamical system where players have opposing objectives regarding the system's behavior. The game is analyzed using a methodology fr…
math.DS2022
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…