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 encompass a broad class of mathematical models in which simple rules govern the evolution of points within a space over time. Within this context, sofic groups have emerged as a ...

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 ...

1 Civil, Environmental and Architectural Engineering, University of Colorado Boulder, Boulder, CO, USA, 2 Cooperative Institute for Research in Environmental Sciences (CIRES), University of Colorado ...

We consider conservative dynamical systems associated with potentials V which have singularities at a set S: V(x) → -∞ as x → S. It is shown that various "action" integrals satisfy Condition C of ...

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 ...