Dynamical systems and chaos theory provide a rigorous mathematical framework to describe, analyse and predict the evolution of systems over time. These fields study how simple deterministic rules can ...

Dynamical systems and ergodic theory constitute a vibrant area of mathematical research that encompasses the study of systems evolving over time, whether these systems originate from physical ...

Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...

The Annals of Applied Probability, Vol. 27, No. 6 (December 2017), pp. 3255-3304 (50 pages) The asymptotic behavior of the stochastic gradient algorithm using biased gradient estimates is analyzed.

Duke University engineers are using artificial intelligence to do something scientists have chased for centuries; turn messy, real-world motion into simple rules you can write down. The work comes ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...