Dynamical systems theory provides a unifying mathematical framework for understanding how complex phenomena evolve over time. By employing differential and difference equations, researchers can ...

Two new papers demonstrate the successes of using bifurcation theory and dynamical systems approaches to solve biological puzzles. Two new papers demonstrate the successes of using bifurcation theory ...

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 ...

Jupiter, which has a mass more than twice that of all the planets combined, continues to fascinate researchers. The planet is characterized most often by its powerful jet streams and Great Red Spot ...

This paper provides a review of some results on the stability of random dynamical systems and indicates a number of applications to stochastic growth models, linear and non-linear time series models, ...

The application of dynamical systems theory to areas outside of mathematics continues to be a vibrant, exciting, and fruitful endeavor. These application areas are diverse and multidisciplinary, ...

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 ...

Recent work in dynamical systems theory has shown how chaotic systems are able to be controlled. One control scheme, adapted from Hayes, Grebogi, and Ott, was applied to a chaotic double scroll ...

Scientists use video footage to analyze Jupiter's transport barriers and examine prior conclusions about Jupiter's atmosphere. Jupiter, which has a mass more than twice that of all the planets ...