The Melnikov method is applied to a model of parametrically generated cross-waves in a long rectangular channel in order to determine if these cross-waves are chaotic. A great deal of preparation is involved in order to obtain a suitable form for the application of the Melnikov method. The Lagrangian for...
Over the last decade the increase in penetration of wind power and its variable nature has begun to add considerable stress to and threatened the stability of the nation's grid. In order to continue growth wind farms will need to have the ability to participate in the same grid frequency...
Biomass burning impacts vegetation dynamics, biogeochemical cycling, atmospheric chemistry, and climate, with sometimes deleterious socio-economic impacts. Under future climate projections it is often expected that the risk of wildfires will increase. Our ability to predict the magnitude and geographic pattern of future fire impacts rests on our ability to model...
Previous research has shown that traveling in a work zone involves a higher risk of crashing compared to normal (non-work zone) driving conditions. Research further suggests that the severity of work zone crashes is greater on average than non-work zone crashes. The period of time in which the traffic control...
Dietary restriction (DR) is the gold standard intervention used to delay aging, and much recent research has focused on
the identification of possible DR mimetics. Energy sensing pathways, including insulin/IGF1 signaling, sirtuins, and
mammalian Target of Rapamycin (mTOR), have been proposed as pathways involved in the antiaging actions of DR,...
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Distinctive Changes in Mouse Liver
Zhen Yu,1 Rong Wang,1 Wilson C. Fok,2 Alexander Coles,3 Adam B. Salmon
Optical variability occurs in the near-surface and upper ocean on very short time and space scales (e.g., milliseconds and millimeters and less) as well as greater scales. This variability is caused by solar, meteorological, and other physical forcing as well as biological and chemical processes that affect optical properties and...
In this study overall financial development and the performance of commercial banks in Georgia during 1991-2000 is analyzed. Georgian banking system emerged from a scratch after the country gained its independence in 1991. Initial reform path turned out to be very arduous, full of failures and disappointments. After complete chaos...
The Wiggins-Holmes extension of the generalized
Melnikov method (GMM) is applied to weakly damped
parametrically excited cross waves with surface tension in
a long rectangular wave channel in order to determine if
these cross waves are chaotic. The Lagrangian density
function for surface waves with surface tension is
simplified by...