5 papers
Stability enhanced by transient attractors in a memristive chaotic map
Alexandre R. Nieto, Rubén Capeáns, Miguel A. F. Sanjuán
The introduction of a memristor in a chaotic system can significantly modify its dynamical behavior. In this paper, we couple a discrete memristor model with a chaotic map to inves…
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…
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…
AI-Driven Control of Chaos: A Transformer-Based Approach for Dynamical Systems
David Valle, Rubén Capeáns, Alexandre Wagemakers +1
Chaotic behavior in dynamical systems poses a significant challenge in trajectory control, traditionally relying on computationally intensive physical models. We present a machine…
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…