A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, ...

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 ...

Mean dimension theory provides a critical framework for analysing the complexity of dynamical systems, particularly those with infinite-dimensional state spaces or infinite entropy. It extends ...

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 ...

While mathematicians wouldn’t necessarily call themselves chaos theorists today, the theory does play a role in the study of dynamical systems, which Kevin Lin, associate professor of math at ...

To better explore that comparison, the researchers turned to the mathematical field of bifurcation theory. A bifurcation is a qualitative change in the behavior of a dynamical system, often taking the ...

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...

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 ...

According to dynamical systems theory, transport barriers exist in complex flows as objects that cannot be crossed by other fluid trajectories. Those in unsteady flows, such as Jupiter's ...

But dynamical systems theory is harder to apply to paleoclimate data. This new method can find transitions in the most challenging time series, including paleoclimate, which are short, have some ...