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dynamical systems

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

3-D Fractals Offer Clues to Complex Systems

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

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?
complex 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?

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

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.

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

Strange Stars Pulse to the Golden Mean

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

Maryam Mirzakhani, who became the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems, has died of cancer at the age of 40. This is our 2014 profile of her life and work.
2014 Fields Medal and Nevanlinna Prize Winners

A Tenacious Explorer of Abstract Surfaces

Maryam Mirzakhani, who became the first woman Fields medalist for drawing deep connections between topology, geometry and dynamical systems, has died of cancer at the age of 40. This is our 2014 profile of her life and work.

Artur Avila’s solutions to ubiquitous problems in chaos theory have “changed the face of the field,” earning him Brazil’s first Fields Medal.
2014 Fields Medal and Nevanlinna Prize Winners

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.