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Nonlinearity in hydrology

100%

Bondarenko N. P.

Zeszyty Problemowe Postępów Nauk Rolniczych

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1996

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tom 436

A non-Newtonion flow of pure water and mixtures of small potential gradients was proved and was explained by the existence of supermolecular set (structure) due to hydrogen bonds. Conditions of destruction and stabilization of such a set were determined. The idea of ‘three-layer’ model of polar liquids near a solid surface was suggested: solvate layer near a solid body (wall layer); a structure of bulk liquid at a rather large distance from the solid body; between bulk liquid and the solvate layer there is a region of the concentrated disorder (‘submelted’ layer). The existence of boundary layers with special structure defines the kinetics of the liquid flow through fine porous filters. This influence manifests itself through rheological properties of liquid and thermodynamic forces causing the flow.

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Do the changes of the function of excitation of pole motion have deterministic components?

100%

Przyborski M., Pyrchla J., Serafin M.

Polish Journal of Environmental Studies

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2005

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tom 14

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nr Suppl.1

The unique changes of the components X1X2 of the function of excitation of the pole? Those changes still remain not fully understood. We address the question about the distribution of those changes, do they have deterministic nature or not?

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Nonlinearity in human resting, eyes-closed EEG: an in-depth case study

84%

Pritchard W. S., Stam C. J.

Acta Neurobiologiae Experimentalis

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2000

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tom 60

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nr 1

The question of nonlinearity in the human electroencephalogram (EEG) is important, since linear methods of EEG analysis are more well-developed and computationally faster than nonlinear methods. Furthermore, the presence or absence of nonlinearity has important theoretical implications for understanding the nature of the brain's oscillatory activity. Using a linear summary measure as a control, we report a failure to reject the null hypothesis of a (largely) stationary linear-Gaussian process for normal, resting, eyes-closed EEG from a single participant. We found significant evidence of nonlinearity at two occipital sites (01 and 02) where the 8-12.5 Hz alpha rhythm was prominent. However, this element of nonlinear structure appeared trivial, as (1) we found no evidence of time irreversibility at these loci, and (2) best-fitting linear models accounted on-average for over 94% of the variance in the data with nonlinear modeling doing no better. Half of the remaining variance could be accounted for by nonstationarity. While our findings technically apply only to the one individual tested, his EEG was typical of those seen under the conditions that we employed.

Ograniczanie wyników

1 Acta Neurobiologiae Experimentalis

1 Polish Journal of Environmental Studies

1 Zeszyty Problemowe Postępów Nauk Rolniczych

1 Bondarenko N. P.

1 Pritchard W. S.

1 Przyborski M.

1 Pyrchla J.

1 Serafin M.

1 Stam C. J.

1 2005

1 2000

1 1996

Nonlinearity in hydrology

Do the changes of the function of excitation of pole motion have deterministic components?

Nonlinearity in human resting, eyes-closed EEG: an in-depth case study