Nonlinear dynamics

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

Earth’s climate is chaotic and volatile. Climate change is simple and predictable. How can both be true?

Tipping points in our climate predictions are both wildly dramatic and wildly uncertain. Can mathematicians make them useful?

The proof establishes new conditions that cause connected oscillators to sway in sync.

Wave-science researcher Ton van den Bremer and Steven Strogatz discuss how rogue waves can form in relatively calm seas and whether their threat can be predicted.

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

New research finds that chaos plays a bigger role in population dynamics than decades of ecological data seemed to suggest.

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

In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.