Dynamical Systems Reading List

Mathematics
Books
Dynamical Systems
Chaos
Author

Joaquim Puig

Published

September 18, 2025

This is my personal selection of non-texbooks for Dynamical Systems.

Chaos: The Making of a New Science

James Gleick, 1987. See the Wikipedia page

Chaos: Making a New Science by James Gleick.

Chaos: Making a New Science by James Gleick.

This is the first time encounter I had wit dynamical systems, sometime around 1991. I still keep the original version in Spanish with its wonderful color plates.

You can follow the author through Mastodon

MANIAC

Benjamín Labatut - 2023

MANIAC by Benjamín Labatut - 2023

MANIAC by Benjamín Labatut - 2023

Poincaré and the Three Body Problem

June Barrow-Green - 1997

Poincaré and the Three Body Problem. June Barrow-Green

Poincaré and the Three Body Problem. June Barrow-Green

Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity.

Loren Graham, Jean-Michel Kantor - 2009

Edición en español: https://www.acantilado.es/catalogo/el-nombre-del-infinito/

Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity. by Loren Graham, Jean-Michel Kantor

Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity. by Loren Graham, Jean-Michel Kantor

The Three-Body Problem

Cixin Liu - 2015

Edició en Català: https://www.raigverdeditorial.cat/cataleg/el-problema-dels-tres-cossos/

The Three-Body Problem. Cixin Liu - 2015

The Three-Body Problem. Cixin Liu - 2015

Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory.

H Scott Dumas - 2014.

Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory. H Scott Dumas

Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory. H Scott Dumas

Las matemáticas del cosmos

Ian Stewart

Las matemáticas del cosmos. Ian Stewart

Las matemáticas del cosmos. Ian Stewart

Chaos: A Very Short Introduction

Leonard Smith - 2007

Chaos: A Very Short Introduction. Leonard Smith

Chaos: A Very Short Introduction. Leonard Smith

I love the description of Laplace notion of determinism (aka Laplace’s demon)

Sync: The Emerging Science of Spontaneous Order

Steven Strogatz - 2004

Sync: The Emerging Science of Spontaneous Order Steven Strogatz.

Sync: The Emerging Science of Spontaneous Order Steven Strogatz.

For many years my students watched the film on the synchronisation of fireflies. It was not until some years later that I first saw fireflies in nature.

What We Cannot Know

Marcus du Sautoy - 2016

What We Cannot Know. Marcus du Sautoy

What We Cannot Know. Marcus du Sautoy

This book is not restricted at all to dynamical systems, but it makes a very clear description of deterministic chaos and the limits it poses to prediction. I found the book amazing and very timely in these times of “you can ask me anything” of AI chatbots.