By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.

# Articles tagged dynamical systems

### Nature’s Critical Warning System

Scientists are homing in on a warning signal that arises in complex systems like ecological food webs, the brain and the Earth’s climate. Could it help prevent future catastrophes?

### A Twisted Path to Equation-Free Prediction

Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations.

### Strange Stars Pulse to the Golden Mean

Nature has revealed peculiar mathematical objects that connect order and chaos.

### A Tenacious Explorer of Abstract Surfaces

Maryam Mirzakhani has become the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems.

### A Brazilian Wunderkind Who Calms Chaos

Artur Avila’s solutions to ubiquitous problems in chaos theory have “changed the face of the field,” earning him Brazil’s first Fields Medal.