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

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

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.

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

Two women programmers played a pivotal role in the birth of chaos theory. Their previously untold story illustrates the changing status of computation in science.

In new computer experiments, artificial-intelligence algorithms can tell the future of chaotic systems.

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.

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

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