Conormality, Cusps and Non-Linear Interaction

1991 ◽  
pp. 155-166
Author(s):  
Richard B. Melrose
Keyword(s):  
Linear Interaction ◽  
Non Linear

Non-Linear Interaction of MHD Waves with Small-Scale Ionospheric Irregularities

2004 ◽  
Vol 61 (7-12) ◽  
pp. 1055-1071
Author(s):  
N. N. Gerasimova ◽  
V. G. Sinitsin ◽  
Yu. M. Yampolski
Keyword(s):  
Ionospheric Irregularities ◽  
Mhd Waves ◽  
Small Scale ◽  
Linear Interaction ◽  
Non Linear

scholarly journals Non-linear interaction of elastic waves in rocks

2013 ◽  
Vol 194 (3) ◽  
pp. 1920-1940 ◽  
Author(s):  
B. N. Kuvshinov ◽  
T. J. H. Smit ◽  
X. H. Campman
Keyword(s):  
Elastic Waves ◽  
Linear Interaction ◽  
Non Linear

Modeling Cerebral Blood Flow and Ventilation Instability due to CO2

2021 ◽  
Author(s):  
Stanley M. Yamashiro ◽  
Takahide Kato
Keyword(s):  
Blood Flow ◽  
Cerebral Blood Flow ◽  
Current Model ◽  
Respiratory Control ◽  
Breath Hold ◽  
Chronic Obstructive ◽  
Brain Blood Flow ◽  
Linear Interaction ◽  
Non Linear ◽  
Flow Changes

A minimal model of cerebral blood flow and respiratory control was developed to describe hypocapnic and hypercapnic responses. Important non-linear properties such as cerebral blood flow changes with arterial partial pressure of carbon dioxide (PaCO2) and associated time dependent circulatory time delays were included. It was also necessary to vary cerebral metabolic rate as a function of PaCO2. The cerebral blood flow model was added to a previously developed respiratory control model to simulate central and peripheral controller dynamics for humans. Model validation was based on previously collected data. The variable time delay due to brain blood flow changes in hypercapnia was an important determinant of predicted instability due to non-linear interaction in addition to linear loop gain considerations. Peripheral chemoreceptor gains above a critical level, but within normal limits, was necessary to produce instability. Instability was observed in recovery from hypercapnia and hypocapnia. The 20 sec breath-hold test appears to be a simple test of brain blood flow mediated instability in hypercapnia. Brain blood flow was predicted to play an important role with non-linear properties. There is an important interaction predicted by the current model between central and peripheral control mechanisms related to instability in hypercapnia recovery. Post hyperventilation breathing pattern can also reveal instability tied to brain blood flow. Previous data collected in patients with chronic obstructive lung disease was closely fitted with the current model and instability predicted. Brain vascular volume was proposed as a potential cause of instability despite cerebral autoregulation promoting constant brain flow.

NON-LINEAR INTERACTION BETWEEN ULTRASONIC SHEAR WAVES AND DISLOCATIONS IN ALUMINIUM

1981 ◽  
Vol 42 (C5) ◽  
pp. C5-387-C5-392 ◽  
Author(s):  
Y. T. Wang ◽  
W. G.B. Britton ◽  
R. W.B. Stephens
Keyword(s):  
Shear Waves ◽  
Linear Interaction ◽  
Non Linear ◽  
Ultrasonic Shear

A stochastic model for two interacting populations

1970 ◽  
Vol 7 (3) ◽  
pp. 544-564 ◽  
Author(s):  
Niels G. Becker
Keyword(s):  
Stochastic Model ◽  
Linear Models ◽  
Death Process ◽  
Linear Component ◽  
Birth And Death Process ◽  
Linear Interaction ◽  
Interacting Populations ◽  
Non Linear ◽  
The Subject ◽  
Interaction Component

To explain the growth of interacting populations, non-linear models need to be proposed and it is this non-linearity which proves to be most awkward in attempts at solving the resulting differential equations. A model with a particular non-linear component, initially proposed by Weiss (1965) for the spread of a carrier-borne epidemic, was solved completely by different methods by Dietz (1966) and Downton (1967). Immigration parameters were added to the model of Weiss and the resulting model was made the subject of a paper by Dietz and Downton (1968). It is the aim here to further generalize the model by introducing birth and death parameters so that the result is a linear birth and death process with immigration for each population plus the non-linear interaction component.

scholarly journals Modeling and parallel computation of the non-linear interaction of rigid bodies with incompressible multi-phase flow

2016 ◽  
Vol 72 (4) ◽  
pp. 1055-1065 ◽  
Author(s):  
Amir Malvandi ◽  
Amirmahdi Ghasemi ◽  
Rasoul Nikbakhti ◽  
Amirreza Ghasemi ◽  
Faraz Hedayati
Keyword(s):  
Parallel Computation ◽  
Rigid Bodies ◽  
Phase Flow ◽  
Linear Interaction ◽  
Non Linear ◽  
Multi Phase Flow ◽  
Multi Phase
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