dynamical system

Weird and wonderful things can happen when you set a ball in motion on a billiard table — and the theory of mathematical billiards has recently seen a breakthrough.

This year's Abel Prize goes to the "true virtuoso" Dennis Sullivan.

Complex systems go! The 2021 Nobel Prize in Physics.

Get a fish to teach you chaos theory!

Holly Krieger has won a Whitehead Prize for work that combines number theory and dynamical systems.

This article gives a short but thorough introduction to that fabled beast of mathematics: the Mandelbrot set.

Want to understand chaos? Then have a look at Smale's famous horseshoe map.

Want to understand chaos? Then have a look at this famous brainchild of the mathematician Stephen Smale.

In this short clip the Fields medallist tells us about his bad marks at school and his fascinatingly eclectic work as a mathematician.

The division of plant cells is governed by their shape – just one example of how maths may reveal the fundamental laws underlying biology.

If you thought that billiards was a harmless game to play in the pub, think again. It's a breeding ground for chaos!

  • Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.

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  • Is it possible to write unique music with the limited quantity of notes and chords available? We ask musician Oli Freke!

  • How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

  • Was the mathematical modelling projecting the course of the pandemic too pessimistic, or were the projections justified? Matt Keeling tells our colleagues from SBIDER about the COVID models that fed into public policy.

  • PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.