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# dynamical systems

## Latest Articles

### Complex Structures Like ‘Entropy Bagels’ Emerge From Simple Rules

Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.

### Unfolding the Mysteries of Polygonal Billiards

The surprisingly subtle geometry of a familiar game shows how quickly math gets complicated.

### The Quest to Decode the Mandelbrot Set, Math’s Most Famous Fractal

For decades, a small group of mathematicians has patiently unraveled the mystery of what was once math’s most popular picture. Their story shows how technology transforms even the most abstract mathematical landscapes.

### Flow Proof Helps Mathematicians Find Stability in Chaos

A series of new papers describes how to fully characterize key dynamical systems with relatively little data.

### From Systems in Motion, Infinite Patterns Appear

Mathematicians are finding inevitable structures in sufficiently large sets of integers.

### Dennis Sullivan, Uniter of Topology and Chaos, Wins the Abel Prize

The American mathematician invented entire new ways to understand shapes and spaces.

### How We Can Make Sense of Chaos

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

### Work on Earth’s Climate and Other Complex Systems Earns Nobel Prize in Physics

Syukuro Manabe and Klaus Hasselmann have been honored for their work that led to reliable predictions of the effects of climate change. They will share the Nobel with Giorgio Parisi, who has made pioneering studies of chaotic physical systems.

### Mathematicians Set Numbers in Motion to Unlock Their Secrets

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.