This paper presents a method of detecting periodicities in data that exploits a series of projections onto “periodic subspaces.” The algorithm finds its own set of nonorthogonal basis elements (based on the data), rather than assuming a fixed predetermined basis as in the Fourier, Gabor, and wavelet transforms. A major strength of the approach is that it is linearin-period rather than linear-in...

Thu periodicity of the fever in infections with \ \ Filaria bancrofti in this country is not strictly periodic or regular. The parturition cycles of different adult female worms may fail to be simultaneous, whilst some parturition cycles may fail to produce fever or other symptoms. Every attack does not always mean fever, nor is every filarial attack of fever followed by lymphatic manifestation...

Abstract In this paper, we study the asymptotic behavior of an $\varepsilon $ ε -periodic 3D stable structure made beams circular cross-section radius $r$ r when periodicity parameter and ratio ${r/\varepsilon }$ / simultaneously tend to 0. The analysis is performed within fr...

In this paper, we investigated the problem of discovering periodicity of a certain event in a binary data series and a new method basing on cross entropy is proposed. First, a series of rational partition methods for binary data series are introduced, which can divide the data series into different segments (partition). Then, we use cross entropy to calculate the partition periodicity, which co...

Let $\mathbb{T}$ be a nonempty, closed, and arbitrary set of real numbers, namely time scale, consider the following delay dynamical equation% \[ x^{\Delta}\left( t\right) =a\left( x\left( +f\left( t,x\left( \mathbb{\vartheta}\left( \right) ,\text{ }t\in\mathbb{T}, \] where $\mathbb{\vartheta}$ stands for abstract function. The main goal this study is three-fold: obtaining existence an equi-bou...