## dynamical system

Artur Avila tells us about taming chaos.

Artur Avila is being honoured for "formidable technical power, the ingenuity and tenacity of a master problem-solver, and an unerring sense for deep and

significant questions."

It's one of the most beautiful sights in nature: fireflies illuminating the night with their synchronised flashing. Mathematicians have just solved a 40 year-old problem behind this striking phenomenon.

The paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.

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

Fields medallist Cédric Villani talks to us about our solar system, chaos, and what it's like being a mathematical superstar.

The ability to see order in chaos has won the mathematician Yakov G. Sinai the 2014 Abel Prize.

The Abel Prize 2011 goes to John Willard Milnor of Stony Brook University, New York for "pioneering discoveries in topology, geometry and algebra".

**Robert L. Devaney**explores the maths behind these beauties and shows that they're loaded with mathematical meaning.