We present a spectrally accurate numerical method for finding nontrivial time-periodic solutions of nonlinear partial differential equations. The method is based on minimizing a functional (of the initial condition and the period) that is positive unless the solution is periodic, in which case it ...
Ptolemy found two main reasons for the irregularity of solar time:An anomalistic solar day is the period comprising the passage of the 360 time-degrees of one revolution of the equator plus that stretch of the equator which rises with, or crosses the meridian with, the anomalistic motion of ...
This form oftime, measured by the Sun’s daily movement across the sky, is calledapparent solar time. It can be measured by a sundial. The motion of theSunfrom east to west is caused by the rotation of theEarth—which is extremely regular. The Earth’s spin is never more than a few...
We show, ultimately by application of the Central Limit Theorem, that if we merely sufficiently alter the time period, at some point the need for one measure will transition into the need for the other, without any change in the underlying physical system. This leads to a comprehensive risk ...
National income accounting refers to the government bookkeeping system that measures the health of an economy, projected growth,economic activity, and development during a certain period of time. It helps in assessing the performance of an economy and the flow of money in an economy. The double ...
We present a spectrally accurate numerical method for finding non-trivial time-periodic solutions of non-linear partial differential equations. The method is based on minimizing a functional (of the initial condition and the period) that is positive unless the solution is periodic, in which case it...
The effect of the size of the system on the shape and period of oscillations is investigated. It is found that in the two-dimensional case the regime of time-periodic spatial disorder arises only in a narrow strip, the critical width of which is estimated. The phenomenon investigated in ...
The autocomplete feature provides a list of functions, key words, fluid names, etc that is based on what you are typing, allowing you to quickly autocomplete your EES code. This prevents mistakes and saves time as well as providing easy access to help.Watch this YouTube short ...
The generalized Swift--Hohenberg equation with a quadratic-cubic nonlinearity is used to study the persistence and decay of localized patterns in the presence of time-periodic parametric forcing. A novel resonance phenomenon between the forcing period and the time required to nucleate one wavelength ...
If the dogs are identical, after a long period of time, it is expected that each dog will have on the average N/2 fleas. This will be true even if all the fleas originally resided on only one dog. However, if one waits a much longer time, all the fleas will be back on the ...