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 ...

Cellular automata are discrete, lattice-based models in which simple local interactions give rise to intricate global behaviour. As a cornerstone of dynamical systems theory, these models have been ...

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, ...

In the context of physical systems, dynamical systems are mathematical models that describe the time evolution of a system’s state, typically represented as points in a phase space governed by ...

Society for Industrial and Applied Mathematics. Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a ...

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 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, ...