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# dynamical systems

## Latest Articles

### 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.

### Searching Symbols for the Rules of Change

Bryna Kra searches for the patterns in sequences of numbers that explain how complicated dynamical systems evolve over time.

### The Map of Mathematics

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

### A Mathematical Model Unlocks the Secrets of Vision

Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.