Windows are a tool commonly used in frequency domain signal processing to preserve the amplitude of a signal and/or minimize leakage. In Dynamic Systems work, windows are useful for determining the ...

Dynamical systems theory underpins our modern understanding of complex behaviours that arise in both natural and engineered systems. At its core, this field addresses the evolution of systems over ...

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 ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

Lotka-Volterra (LV) systems are quadratic dynamical systems of a special type. They arise in population biology, in chemical kinetics, and in multimode coupling. Well-known cases include ABC and ...

Full and accurate reconstruction of dynamics from time-series data - e.g., via delay-coordinate embedding - is a real challenge, but useful information can be gleaned from incomplete embeddings. We ...

Our goal is to expand the usefulness of this material as much as possible. We are currently implementing components of this project in the curriculum at U Mass Lowell, and would like to see this done ...