Results 31 to 40 of about 462,768 (332)

A new view of nonlinear water waves: the Hilbert spectrum [PDF]

open access: yes, 1999
We survey the newly developed Hilbert spectral analysis method and its applications to Stokes waves, nonlinear wave evolution processes, the spectral form of the random wave field, and turbulence.
Huang, Norden E.   +2 more
core   +1 more source

Localizing Spectral Interactions in the Resting State Network Using the Hilbert–Huang Transform

open access: yesBrain Sciences, 2022
Brain synchronizations are orchestrated from neuronal oscillations through frequency interactions, such as the alpha rhythm during relaxation. Nevertheless, how the intrinsic interaction forges functional integrity across brain segregations remains ...
Ai-Ling Hsu   +4 more
doaj   +1 more source

Riemann–Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

open access: yesAdvances in Difference Equations, 2019
This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang   +2 more
doaj   +1 more source

Analysis of shallow turbulent flows using the Hilbert-Huang transform: a tool for exploring the characteristics of turbulence and coherent flow structures

open access: yesHungarian Geographical Bulletin, 2018
The Hilbert-Huang transform (HHT) is a method of spectral analysis that is suitable for application to nonstationary and non-linear signals that holds enormous potential for the analysis of turbulent flows in fluvial, aeolian, and coastal systems.
Kory M. Konsoer, Bruce Rhoads
doaj   +1 more source

Spectral Theory of Discrete Processes [PDF]

open access: yes, 2009
We offer a spectral analysis for a class of transfer operators. These transfer operators arise for a wide range of stochastic processes, ranging from random walks on infinite graphs to the processes that govern signals and recursive wavelet algorithms ...
Jorgensen, Palle E. T., Song, Myung-Sin
core   +1 more source

Local properties of vigilance states: EMD analysis of EEG signals during sleep-waking states of freely moving rats. [PDF]

open access: yesPLoS ONE, 2013
Understanding the inherent dynamics of the EEG associated to sleep-waking can provide insights into its basic neural regulation. By characterizing the local properties of the EEG using power spectrum, empirical mode decomposition (EMD) and Hilbert ...
Rupesh Kumar   +2 more
doaj   +1 more source

Approximate controllability of second order infinite dimensional systems [PDF]

open access: yesArchives of Control Sciences, 2021
In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented.
Jerzy Klamka, Asatur Zh. Khurshudyan
doaj   +1 more source

Multiscale Portfolio Optimization via ICEEMDAN and Hilbert Spectral Analysis [PDF]

open access: gold
Abstract Traditional portfolio optimization assumes homogeneous correlation structures across time scales, conflating high-frequency noise with persistent long-term trends. We introduce a scale-diversified portfolio construction framework that decomposes multivariate asset returns into intrinsic mode functions using Improved Complete Ensemble ...
Devansh Garg
openalex   +2 more sources

Exponential convergence to equilibrium for subcritical solutions of the Becker-D\"oring equations [PDF]

open access: yes, 2013
We prove that any subcritical solution to the Becker-D\"{o}ring equations converges exponentially fast to the unique steady state with same mass. Our convergence result is quantitative and we show that the rate of exponential decay is governed by the ...
Cañizo, José A., Lods, Bertrand
core   +1 more source

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