activity
20192025
most citedSystematic search for islets of stability in the standard map for large parameter values

6 citations · 8 across the 4 of their papers we have counts for

collaborators

5 papers

nlin.CD2025★ 2 cited

Controlling Transient Chaos in the Lorenz System with Machine Learning

David Valle, Rubén Capeans, Alexandre Wagemakers +1

This paper presents a novel approach to sustain transient chaos in the Lorenz system through the estimation of safety functions using a transformer-based model. Unlike classical me…

nlin.CD2024★ 6 cited

Systematic search for islets of stability in the standard map for large parameter values

Alexandre R. Nieto, Rubén Capeáns, Miguel A. F. Sanjuán

In the seminal paper (Phys. Rep. 52, 263, 1979), Boris Chirikov showed that the standard map does not exhibit a boundary to chaos, but rather that there are small islands (islets)…

math.DS2021

Beyond partial control: Controlling chaotic transients with the safety function

Rubén Capeáns, Miguel A. F. Sanjuán

Partial control is a technique used in systems with transient chaos. The aim of this control method is to avoid the escape of the orbits from a region Q of the phase space where th…

math.DS2021

Forcing the escape: Partial control of escaping orbits from a transient chaotic region

Gaspar Alfaro, Rubén Capeáns, Miguel A. F. Sanjuán

A new control algorithm based on the partial control method has been developed. The general situation we are considering is an orbit starting in a certain phase space region Q havi…

nlin.CD2019

A new approach of the partial control method in chaotic systems

Rubén Capeáns, Juan Sabuco, Miguel A. F. Sanjuán

We present here a new approach of the partial control method, which is a useful control technique applied to transient chaotic dynamics affected by a bounded noise. Usually we want…