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To Stochastic Resonance in Homopolar Dynamo
Ch. 3. P. 31–44.
Agalarov A. M., Alekseeva E. S., Potapov A. A., Alexander E. Rassadin
Keywords: состояния равновесияпреобразование Фурьеэлектромеханическая системаDesign and testingAmplitude responsesEquilibrium statesElecromechanical systemPhase planeThe Fourier transformThe Wiener-Khinchin theoremThe Jordan’s lemmaфазовая плоскостьамплитудно-частотные характеристикитеорема Винера-Хинчина лемма Жорданаразработка и испытания
E. M. Novikova, Mathematical notes 2025 Vol. 118 No. 4 P. 794–810
For each integer nonnegative n, in some Hilbert space, we introduce an integral
transform H_n. It is similar to the well-known Hankel (Fourier–Bessel) transform of nth order due
to the fact that it is related to the Fourier transform and its integral kernel is expressed in terms of
the Bessel function J_n. But, unlike the Hankel transform, intended ...
Added: November 25, 2025
Вишняков Г. Н., Yurin A., Minaev V. et al., Известия высших учебных заведений. Прикладная нелинейная динамика 2023 Т. 31 № 4 С. 408–420
The purpose of this work is to analyze the effect of the polarimeter signal processing algorithm on the results of measurements of the optical rotation angle of the polarization plane to improve the accuracy of measurements in differential polarimetry. Methods. The paper considers the methods of polarimetry used for the analysis of optically active substances, ...
Added: July 31, 2023
A. E. Rassadin, Журнал Средневолжского математического общества 2023 Vol. 25 No. 1 P. 542–533
In the present paper, a nonlinear countable-dimensional system of integrodifferential equations is investigated, whose vector of unknowns is a countable set of functions of two variables. These variables are interpreted as spatial coordinate and time. The nonlinearity of this system is constructed from two simultaneous convolutions: first convolution is in the sense of functional analysis ...
Added: April 4, 2023
Потапов А. А., Рассадин А. Э., Proceedings of SPIE 2017 Vol. 10342 P. 1–9
In a number of previous papers authors have introduced quasiparticle of radio- and optical systems. We have called this quasiparticle by ‘radion’. The basis for this is the representation of Green’s function of equation of quasioptics by Feynman integral. It means that radion has quantum mechanical properties. In particular in approximation of quasioptics one can ...
Added: December 17, 2022
В. П. Спиридонов, Теоретическая и математическая физика 2022 Т. 212 № 3 С. 403–413
We describe a family of quantum states of the Schrödinger cat type as superpositions of the harmonic oscillator coherent states with coefficients defined by the quadratic Gauss sums. These states emerge as eigenfunctions of the lowering operators obtained after canonical transformations of the Heisenberg–Weyl algebra associated with the ordinary and fractional Fourier transformations. The first member of this family is given by the well ...
Added: August 30, 2022
Tikhonov E., Sneps-Sneppe M., International Journal of Open Information Technologies 2019 Vol. 7 No. 4 P. 53–60
The article introduces powerful common tool for the signals analysis – basics of a spectral analysis.
It focuses on decomposition into complex sine waves (harmonic sinusoids) called the Fourier transform.
Based on qualitative review of the natural phenomenon of visible light (that is the electromagnetic field oscillation in a working range of the eyes) decomposition into a ...
Added: April 9, 2022
Osipov D., Паршин А. Н., Математический сборник 2020 Т. 211 № 1 С. 125–174
In this work we construct a harmonic analysis on free Abelian groups of rank 2, namely: we construct and investigate spaces of functions and distributions, Fourier transforms and actions of discrete and extended discrete Heisenberg groups. In the case of the rank-2 value group of a two-dimensional local field with finite last residue field we ...
Added: May 20, 2020
Ростов н/Д: Издательство ЮФУ, 2019.
В сборнике представлены доклады участников XVIII Всероссийской конференции-школы молодых исследователей ”СОВРЕМЕННЫЕ ПРОБЛЕМЫ МАТЕМАТИЧЕСКОГО МОДЕЛИРОВАНИЯ”, организованной Институтом прикладной математики им. М.В. Келдыша РАН и Институтом математики, механики и компьютерных наук им. И.И. Воровича Южного федерального университета, проходившей с 16 по 21 сентября
2019 года в поселке Абрау-Дюрсо, Новороссийск, Россия. В работе школы приняли участие представители научных центров ...
Added: December 29, 2019
Козачок А. В., Копылов С. А., Мещеряков Р. В. et al., Компьютерная оптика 2017 Т. 41 № 5 С. 743–755
The development of an Internet of things concept has led to an essential increase in the amount of data processed via the Internet. Multimedia data constitute a significant proportion of this information. This type of data often contains user’s personal information or copyright protected data. The issue of copyright protection of digital imagery has remained ...
Added: September 5, 2019
Grushin V. V., Математические заметки 2017 Т. 102 № 6 С. 816–827
Asymptotic formulas are obtained for a class of integrals that are Fourier transforms of rapidly oscillating functions. These formulas contain special functions and generalize the well-known method of stationary phase. ...
Added: January 13, 2018
М.: КМС ВСНТО, 1987.
Added: April 5, 2014
Gushchin A. A., Küchler U., Теория вероятностей и ее применения 2004 Т. 49 № 2 С. 352–362
Показано, что σ-конечная борелевская мера на положительной полупрямой с невозрастающей плотностью (относительно меры Лебега) однозначно характеризуется своей симметризацией. ...
Added: October 7, 2013
В. В. Лебедев, Математический сборник 2012 Т. 203 № 11 С. 121–128
We consider the Paley--Wiener spaces of L2 -functions whose Fourier transform has a bounded support. We show that every continuous mapping that generates a superposition operator acting on these spaces is affine and injective. ...
Added: February 13, 2013
V. V. Lebedev, Sbornik Mathematics 2012 Vol. 203 No. 11 P. 1647–1653
We consider the Paley--Wiener spaces of L2-functions whose Fourier transform has a bounded support. We show that every continuous mapping that generates a superposition operator acting on these spaces is affine and injective. ...
Added: January 29, 2013
Popov S., Ulyanov N. G., В кн.: Новые информационные технологии в автоматизированных системах: материалы пятнадцатого научно-практического семинара.: М.: Московский государственный институт электроники и математики, 2012. С. 44–48.
В статье рассмотрена актуальная задача разработки алгоритма определения параметров движения кристаллизатора – основного элемента машины непрерывного литья заготовок (МНЛЗ). Выработаны основные требования к системе контроля движения. Разработан алгоритм обработки сигналов, использующий методы цифровой фильтрации и спектрального анализа. Предложены интегральные критерии оценки качества механизма качания кристаллизатора. ...
Added: December 10, 2012
Belenky A., Dordrecht, L., Heidelberg, NY: Springer, 2012.
This is the first book on the U.S. presidential election system to analyze the basic principles underlying the design of the existing system and those at the heart of competing proposals for improving the system. The book discusses how the use of some election rules embedded in the U.S. Constitution and in the Presidential Succession ...
Added: September 25, 2012