complex systems

For the first time, mathematicians have proved that planetary orbits in a solar system will always be unstable.

If we want to understand complex constructions, such as ourselves, assembly theory says we must account for the entire history of how such entities came to be.

By replacing thousands of equations with just one, ecology modelers can more accurately assess how close fragile environments are to a disastrous “tipping point.”

Nikta Fakhri is adapting and extending concepts from physics to describe how tiny biological components give rise to living organisms.

Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing the discipline.

A custom-built machine learning algorithm can predict when a complex system is about to switch to a wildly different mode of behavior.

Physicists have solved a key problem of robotic locomotion by revising the usual rules of interaction between simple component parts.

Physicists are building neural networks out of vibrations, voltages and lasers, arguing that the future of computing lies in exploiting the universe’s complex physical behaviors.

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.