The probability density function ~PDF! of the roughness, i.e., of the temporal variance, of 1/f a noise signals is studied. Our starting point is the generalization of the model of Gaussian, time periodic, 1/f noise, discussed in our recent Letter @Phys. Rev. Lett. 87, 240601 ~2001!#, to arbitrary power law. We investigate three main scaling regions (a<1/2, 1/2,a<1, and 1,a), distinguished by t...

In this paper, we consider a problem in calculus of variations motivated by quantitative isoperimetric inequality the plane. More precisely, aim article is computation minimum variational $$\begin{aligned}\inf _{u\in {\mathcal {W}}} \frac{\displaystyle \int _{-\pi }^{\pi }[(u')^2-u^2]d\theta }{\displaystyle \left[ } |u| d\theta \right] ^2} \end{aligned}$$ where function $$u\in {W}}$$ $$H^1(-\pi...

We consider the magnetic Schrödinger operator on the so-called zigzag periodic metric graph (a quasi 1D continuous model of zigzag nanotubes) with a periodic potential. The magnetic field (with the amplitude B ∈ R) is uniform and it is parallel to the axis of the nanotube. The spectrum of this operator consists of an absolutely continuous part (spectral bands separated by gaps) plus an infinite...

The method of Mironenko’s reflecting function is used for investigation Riccati equations. class equations with certain-type has been preliminarily constructed. necessary and sufficient conditions, under which the equation would have a linear in phase variable, are proved. These conditions constructive nature, since on their basis formula obtained, shows variable terms coefficients equation. Ad...

S-asymptotically ω-periodic functions have applications to several problems, for example in the theory of functional differential equations, fractional differential equations, integral equations and partial differential equations. The concept of S-asymptotic ω-periodicity was introduced in the literature by Henrı́quez et al. 1, 2 . Since then, it attracted the attention of many researchers see 1...

The global in time existence of strong solutions to the compressible Navier-Stokes equation around time-periodic parallel flows in R, n ≥ 2, is established under smallness conditions on Reynolds number, Mach number and initial perturbations. Furthermore, it is proved for n = 2 that the asymptotic leading part of solutions is given by a solution of one-dimensional viscous Burgers equation multip...

This paper presents circular polar coordinates transformation of periodic fuzzy membership function. The purpose is identification of domain of periodic membership functions in consequent part of IF-THEN rules. Proposed methods in this paper remove complicatedness concerning domain of periodic membership function from defuzzification in fuzzy approximate reasoning. Defuzzification on circular p...

abstract background prevalence of hereditary blood diseases such as sickle cell anemia, sickle thalassemia and thalassemia major are high in khuzestan province. sickle cell anemia and beta-thalassemia are predominantly common in iranian arabs. pulmonary complications account for a large proportion of morbidity and mortality in patients with and sickle cell disease. periodic lung function assess...

In this paper we derive a deterministic fast discrete Fourier transform algorithm for a 2π-periodic function f whose Fourier coefficients with significantly large magnitude are contained inside a support interval of length B. The algorithm is based on a method for the efficient recovery of B-sparse 2π-periodic functions presented by Iwen in [15]. If a good bound B on the support length is known...

We describe an uncountable family of compact group automorphisms with entropy log 2. Each member of the family has a distinct dynamical zeta function, and the members are parametrised by a probability space. A positive proportion of the members have positive upper growth rate of periodic points, and almost all of them have an irrational dynamical zeta function. If infinitely many Mersenne numbe...