Prediction of chaotic dynamics from data: An introduction

Luca Magri; Andrea Nóvoa; Elise Özalp

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arXiv · 2604.11624

Prediction of chaotic dynamics from data: An introduction

Luca Magri·Andrea Nóvoa·Elise Özalp

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Abstract

This chapter offers a principled approach to the prediction of chaotic systems from data. First, we introduce some concepts from dynamical systems' theory and chaos theory. Second, we introduce machine learning approaches for time-forecasting chaotic dynamics, such as echo state networks and long-short-term memory networks, whilst keeping a dynamical systems' perspective. Third, the lecture contains informal interpretations and pedagogical examples with prototypical chaotic systems (e.g., the Lorenz system), which elucidate the theory. The chapter is complemented by coding tutorials (online) at https://github.com/MagriLab/Tutorials.

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Luca Magri, Andrea Nóvoa, Elise Özalp. 2026-04-13. Prediction of chaotic dynamics from data: An introduction. https://arxiv.org/abs/2604.11624

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