?
Построение прогнозных моделей стохастической системы на примере прогноза инцидентов информационной безопасности
С. 144–148.
Los A., Ермакова А. Ю.
In book
Саратов: Издательство Саратовского университета, 2009.
A. S. Baybar, M. Yu. Puzachenko, R. B. Sandlersky, Geography and Natural Resources 2025 Vol. 46 No. S1 P. S15–S22
This article presents a methodology for landscape mapping based on the integration of long-term series of multispectral data and morphometric characteristics of the relief for various hierarchical levels. Using the example of the Central Forest Reserve and its adjacent territory, where both indigenous and anthropogenically modified geosystems are combined, it is shown that the identification ...
Added: January 14, 2026
Gershman M., Dranev Y., Klypin A. et al., Проблемы прогнозирования 2025 № 2 С. 118–134
The article presents the results of the assessment of the values of the target indicator in the field of S&T, approved by the Decree of the President of the Russian Federation No. 309 “On the national development objectives of the Russian Federation for the period up to 2030 and for the future until 2036”, and ...
Added: February 25, 2025
Los A., Ермакова А. Ю., Вестник Новосибирского государственного университета. Серия: Информационные технологии 2023 Т. 21 № 1 С. 19–31
The article discusses the issues of analyzing the risks of information security violations if it is necessary to take into
account the total damage in the event of computer incidents. A discrete time model is considered as a mathematical model of the occurrence of incidents, in which incidents in an information system occur at random discrete ...
Added: November 14, 2024
Alexeevskaya E., Вестник арбитражной практики 2018 № 4 С. 3–5
The lack of a uniform understanding of the "judicial system" definition in Russia in the legal literature leads to a budgetary resource dispersion, which, ultimately, negatively affects the quality of justice and, as a result, destabilize the judicial system. Besides, the legal science lacks true comprehension of the Russian judicial system phenomenon, which prevents the ...
Added: August 20, 2024
Blank M., Nonlinearity 2024 Vol. 37 No. 6 Article 065006
We propose a novel unifying approach to study the shadowing property
for a broad class of dynamical systems (in particular, discontinuous and non-invertible)
under a variety of perturbations. In distinction to known constructions, our approach is local:
it is based on the gluing property which takes into account the shadowing under a single
(not necessarily small) perturbation. ...
Added: April 17, 2024
Blank M., Современная математика. Фундаментальные направления 2023 Т. 69 № 1 С. 50–61
A new approach based on the analysis of the influence of a single perturbation is proposed as a test for the shadowing property for a broad class of dynamical systems (in particular, non-autonomous) under a variety of perturbations. Applications for several interesting cases are considered in detail. ...
Added: March 23, 2024
Michael Blank, Mathematika 2023 Vol. 69 No. 2 P. 349–365
The purpose of this work is threefold:
(i) extend shadowing theory for discontinuous and non-invertible systems,
(ii) consider more general classes of perturbations (for example, small only on average),
(iii) establish a general theory based on the property that the shadowing holds
for the case of a single perturbation. The ``gluing'' construction used in the analysis
of the last property ...
Added: March 21, 2023
Bibilo Y., Glutsyuk A., Nonlinearity 2022 Vol. 35 No. 10 P. 5427–5480
The tunnelling effect predicted by Josephson (Nobel Prize, 1973) concerns the Josephson junction: two superconductors separated by a narrow dielectric. It states existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modelled by a family of differential equations on two-torus depending on three parameters: B (abscissa), A (ordinate), ω ...
Added: December 20, 2022
Blank M., [б.и.], 2022.
The purpose of this work is threefold: (i) extend shadowing theory
for discontinuous and non-invertible systems, (ii) consider more
general classes of perturbations (for example, small only on average),
(iii) establish a general theory based on the property that the
shadowing holds for the case of a single perturbation. The “gluing”
construction used in the analysis of the last property ...
Added: June 26, 2022
Pokhodnya N., Шамолин М. В., Вестник Самарского государственного университета. Естественнонаучная серия 2014 № 7 (118) С. 60–69
The systems which have finite-dimensional spheres as the space of positions, are arising in many problems of multi-dimensional dynamics. Accordingly, tan- gent bundles of those spheres become phase spaces of such systems. In the article activity of inductive transition in the system on tangent bundle of low-dimen- sional sphere under increase of its dimension and ...
Added: December 14, 2021
Kochetkov Y., / Series Arxiv. math "Cornell university preprint series". 2021. No. 2106.15557.
Let us consider a family F(alpha,beta,gamma,delta) of convex quadrangles in the plane with given angles
{alpha,beta,gamma,delta} and with the perimeter 2pi. Such quadrangle Q from F(alpha,beta,gamma,delta) can be
considered as a point (x_1,x_2,x_3,x_4) in 4-dimensional space R^4, where {x_1,x_2,x_3,x_4} --- lengths of edges. Then to F a finite open segment I in R^4 is corresponded. A quadrangle in F, that corresponds to the midpoint of I$is called a balanced quadrangle. ...
Added: June 30, 2021
Kuptsov P., Kuptsova A. V., Stankevich N., Russian Journal of Nonlinear Dynamics 2021 Vol. 17 No. 1 P. 5–21
We suggest a universal map capable of recovering the behavior of a wide range of dynamical systems given by ODEs. The map is built as an artificial neural network whose weights encode a modeled system. We assume that ODEs are known and prepare training datasets using the equations directly without computing numerical time series. Parameter ...
Added: April 3, 2021
Guglielmi N., Protasov V., SIAM Journal on Matrix Analysis and Applications 2018 Vol. 39 No. 4 P. 1642–1669
We consider the problem of computing the closest stable/unstable nonnegative matrix
to a given real matrix. The distance between matrices is measured in the Frobenius norm. The
problem is addressed for two types of stability: the Schur stability (the matrix is stable if its spectral
radius is smaller than one) and the Hurwitz stability (the matrix is stable ...
Added: October 30, 2019
A.V. Romanov, / Series math "arxiv.org". 2018. No. 1806.09132.
We study the problem on the weak-star decomposability of a topological N0-dynamical system (Ω, '), where ' is an endomorphism of a metric compact set Ω, into ergodic components in terms of the associated enveloping semigroups. In the tame case (where the Ellis semigroup E(Ω,') consists of B1-transformations Ω → Ω), we show that (i) ...
Added: July 3, 2018
А.П. Афанасьев, Дзюба С. М., Дифференциальные уравнения 2017 Т. 53 № 1 С. 3–9
Приводится определение и критерий существования обобщённо-периодических движений одного широкого класса систем. Данный класс содержит в себе системы, характеризуемые классическим периодическим оператором сдвига, системы, порождённые интегральными уравнениями Вольтерры, и некоторые другие. Устанавливается связь между обобщённо-периодическими движениями и интегральными инвариантными множествами. ...
Added: March 12, 2018
Grines V., Gurevich E., Pochinka O., Математические заметки 2012 Т. 91 № 5 С. 791–794
В работе получены необходимые и достаточные условия включения в топологический поток диффеоморфизмов Морса-Смейла без гетероклинически пересечений инвариантных многообразий седловых периодических точек, заданных на многообразии размерности три и выше. ...
Added: September 27, 2014
Зелик С. В., Chepyzhov V. V., Доклады Академии наук 2014 Т. 455 № 5 С. 512–517
We study regular global attractors of the dynamical systems corresponding to dissipative evolution equations and their nonautonomous perturbations. We prove that the nonautonomous dynamical system (process) resulting from a small nonautonomous perturbation of an autonomous dynamical system (semigroup) having a regular attractor has a regular nonautonomous attractor as well. Moreover, the symmetric Hausdorff deviation of ...
Added: August 26, 2014
Kudryashov Y., / Series math "arxiv.org". 2012.
In this article, we extend the phenomena of a bony attractor from a rather artificial class of step skew products to the class of diffeomorphisms on the Cartesian product of the two-dimensional torus by a sphere of arbitrary dimension. ...
Added: May 16, 2013