The study of dynamical systems has long provided a comprehensive framework to describe how complex systems evolve over time under deterministic rules. In recent years, the focus has shifted towards ...

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 ...

Scientists usually use a hypergraph model to predict dynamic behaviors. But the opposite problem is interesting, too. What if researchers can observe the dynamics but don't have access to a reliable ...

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 ...

Dynamic systems pays attention to patterns of change over time. Source: Drawing by A. Danvers “Personal histories are processes of change in time, and the change itself is one of the things ...

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 ...

Many frequently observed real-world phenomena are nonlinear in nature. This means that their output does not change in a manner that is proportional to their input. These models have a degree of ...

“Does the flap of a butterfly’s wings in Brazil set off a tornado in Texas?” Might sound like the type of question posed by science fiction explorers to reveal the precarity of time travel, but in ...