Tutorials & GUIs ... Windowing and Leakage 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 ...

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 ...

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 ...

APPM 5460 Methods in Applied Mathematics: Dynamical Systems and Differential Equations Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers ...

Researchers from Osaka University have developed an artificial intelligence algorithm that discovers the underlying conservation laws of real-world dynamical systems, not just the superficial ...

A continuous map on a compact metric space, regarded as a dynamical system by iteration, admits invariant measures. For a closed relation on such a space, or, equivalently, an upper semicontinuous set ...

Michael Dellnitz, Oliver Junge, On the Approximation of Complicated Dynamical Behavior, SIAM Journal on Numerical Analysis, Vol. 36, No. 2 (Jan. - Mar., 1999), pp ...

Such systems may be chaotic, consisting of regions in phase space of stable, regular motion embedded in a sea of chaos. Previous studies predicted4 dynamical tunnelling between these stable regions.

Tutorials & GUIs Fourier Series The Fourier Series is a mathematical tool which is commonly used for solving many different engineering problems. In Dynamic Systems work, the Fourier Series is useful ...