Many frequently observed real-world phenomena are nonlinear in nature. This means that their output does not change in a manner that is proportional to their input. These models have a degree of ...

Chaos theory has revolutionised our understanding of complex dynamical systems by revealing that deterministic systems can display behaviour that is both unpredictable and exquisitely sensitive to ...

Dynamic systems pays attention to patterns of change over time. Source: Drawing by A. Danvers “Personal histories are processes of change in time, and the change itself is one of the things ...

In 1885, King Oscar II of Sweden announced a public challenge consisting of four mathematical problems. The French polymath Henri Poincaré focused on one related to the motion of celestial bodies, the ...

Amie Wilkinson is an explorer. Instead of seeking uncharted land, she’s after undiscovered mathematical worlds — complex systems of motion that unfold in unexpected ways. As a professor at the ...

Some computers are easy to spot. Artificial, human-built computers like those found in smartphones and laptops are abstract dynamic systems with observable computational elements like input, output, ...