Nonlinear multivariate analysis of neurophysiological signals

/pdf/observations-and-modeling-of-seismic-background-noise-ese4ju2hi1.pdf

Observations and modeling of seismic background noise

Measurements of the total energy, cross helicity, and magnetic helicity of the solar wind at 1, 2.8, and 5 AU are presented. These quantities are the three rugged invariants of three-dimensional ideal incompressible MHD turbulence theory. The theoretical technique for measuring the magnetic helicity from the matrix of two-point correlations is shown. The length scales characterizing the magnetic helicity are found to be equal to or greater than those which characterize the magnetic energy. The magnetic helicity typically lies at scales larger than the magnetic correlation length, consistent with the expectations of the inverse cascade and selective decay hypotheses of three-dimensional MHD turbulence. At smaller scales, the magnetic helicity oscillates in sign. Measurements of the cross helicity are not fully consistent with the usual interpretation in terms of outward propagating Alfvenic functions. Especially during the interval at 5 AU the cross helicity is found to oscillate in sign indicating fluctuations propagating both outward and inward.

Measurement of the rugged invariants of magnetohydrodynamic turbulence in the solar wind

Cortico-cortical associations and EEG coherence: a two-compartmental model.

The development of the cerebral hemispheres was assessed by using measures of electroencephalographic coherence and phase in 577 children ranging in age from 2 months to early adulthood. Two categories of age-dependent change in electroencephalographic coherence and phase were noted: continuous growth processes that were described best by an exponential growth function, and discrete growth spurts that appeared in specific anatomical locations at specific postnatal periods. The left and right hemispheres developed at different rates and with different postnatal onset times with the timing of growth spurts overlapping the timing of the major developmental stages described by Piaget.

https://science.sciencemag.org/content/sci/236/4805/1110.full.pdf

Human cerebral hemispheres develop at different rates and ages.

Digital time series analysis

Digital Time Series Analysis.

: Contents: Preprocessing of data; Digital filtering; Fourier series and Fourier transform computations; Correlation function computations; Spectral density function computations; Frequency response function and coherence function computations; Probability density function computations; Nonstationary processes; and Test case and examples.

Robert K. Otnes

Papers

Digital time series analysis

Digital Time Series Analysis.

Programming and analysis for digital time series data

Applied Time Series Analysis. Volume I: Basic Techniques.