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 ...

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 ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

Multimodal neuroimaging in humans reveals how the brain’s connectivity and neurovascular dynamics change, as it transitions from wakefulness to dexmedetomidine-induced unconsciousness and then ...

SIAM Journal on Numerical Analysis, Vol. 36, No. 2 (Jan. - Mar., 1999), pp. 491-515 (25 pages) We present efficient techniques for the numerical approximation of complicated dynamical behavior. In ...

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 ...

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 dynamics ...

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 for understanding frequency ...