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

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 ...

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 ...

In the last 150 years, engineers have developed and mastered ways to stabilize dynamic systems, without lag or overshoot, using what's known as control theory. Now, a team of University of Arizona ...

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 ...

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 ...

Course includes a review for modeling of dynamical systems, stability, and root locus design. Also covers control systems design in the frequency domain, fundamentals of digital control and nonlinear ...

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 ...