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 ...

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 ...

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, ...

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.

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 ...

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 ...

Newton’s third law tells us that for every action, there’s an equal reaction going the opposite way. It’s been reassuring us for 400 years, explaining why we don’t fall through the floor (the floor ...