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 ...

Dynamical systems theory offers a robust framework for deciphering the complex behaviour inherent in both natural and engineered systems. By representing all possible states of a system within a phase ...

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 ...

The dynamic exoplanet system TOI-201 is changing so rapidly that astronomers say it may look extremely different to us in two ...

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 ...

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 ...

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 ...

Astronomers at The University of New Mexico have published new research confirming three bodies orbiting the dynamic ...