5 citations · 15 across the 7 of their papers we have counts for
5 papers · 1 filter
From Basins to safe sets: a machine learning perspective on chaotic dynamics
David Valle, Alexandre Wagemakers, Miguel A. F. Sanjuán
The study of chaos has long relied on computationally intensive methods to quantify unpredictability and design control strategies. Recent advances in machine learning, from convol…
Basins of Attraction: A Dynamical Zoo
Alexandre Wagemakers
Research in multistable systems is a flourishing field with countless examples and applications across scientific disciplines. I present a catalog of multistable dynamical systems…
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…
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…
Planetary Influences on the Solar Cycle: A Nonlinear Dynamics Approach
Juan M. Muñoz, Alexandre Wagemakers, Miguel A. F. Sanjuán
We explore the effect of some simple perturbations on three chaotic models proposed to describe large scale solar behavior via the solar dynamo theory: the Lorenz and the Rikitake…