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On the solutions of ordinary differential equations in the form of Dulac series
Qualitative Theory of Dynamical Systems. 2022. Vol. 21. Article 47.
We consider a nonlinear ordinary differential equation of arbitrary order
with coefficients in the form of power series that converge in a neighborhood
of the origin. The methods created in power geometry in recent
years make it possible to compute formal solutions to that equation in the
form of Dulac series. We describe the corresponding algorithm and prove
a sufficient convergence condition for such formal solutions.
Шиманогов И. Н., Vyalyi M., Дискретный анализ и исследование операций 2025 Т. 32 № 4 С. 213–230
A well-studied class of algorithmic problems is that of regular realizability: checking the non-emptiness of the intersection of a regular language with a given language. This problem has a natural algebraic interpretation: verifying whether an element of a Boolean algebra belongs to the kernel of a certain homomorphism. This motivates the consideration of an analogous ...
Added: July 12, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
Added: July 8, 2026
Маликов М. А., Монахова Э. А., Rzaev E. et al., Ученые записки Казанского университета. Серия: Физико-математические науки 2026 Т. 168 № 2 С. 269–286
This article examines series of families of two-dimensional circulant networks with rectangular
L -shapes, optimal in diameter, as network-on-chip topologies with a minimal number of crossings
between the links and a bounded length of the maximum link that does not depend on the network
size. New network-on-chip routing algorithms, which use the coordinates of three adjacent zeros in
the ...
Added: July 8, 2026
Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Irkutsk: ISDCT SB RAS, 2026.
We study a model problem on the filtration of a conducting fluid through a
porous layer. A porous medium is presented as an assemblage of identical spherical
cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates
for flow characteristics which show the specific behavior of the fluid. Our estimates
are validated numerically. ...
Added: July 5, 2026
М.: Наука и технологии, 2026.
«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
Для руководителей и работников промышленности, научно-исследовательских и проектно-конструкторских институтов, высших учебных заведений, аспирантов и студентов, а также для специалистов, разрабатывающих, выпускающих и эксплуатирующих средства телекоммуникаций.
Новости разработок и производства, прогнозы развития, защита информации, Нормативные, справочные, аналитические и учебно-методические материалы.
Переход к глобальному информационному ...
Added: July 4, 2026
МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
Added: July 4, 2026
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Gaianov N., Parusnikova A., Уфимский математический журнал 2026 Т. 18 № 2 С. 14–22
We consider an algebraic 𝑞–difference equation. We propose a sufficient condition for the existence of a formal power–logarithmic expansion in the vicinity of zero of the solution to such an equation. We apply this sufficient condition to construct the formal expansion of a solution to a certain 𝑞–difference analogue of the fifth Painlevé equation for
particular ...
Added: June 24, 2026
Gaianov N., Parusnikova A., / Cornell University. Серия math "arxiv.org". 2025.
An algebraic q-difference equation is considered. A sufficient condition for the existence of a formal power-logarithmic expansion of a solution to such an equation in the neighborhood of zero is proposed. An example of applying this sufficient condition for constructing a formal expansion of a solution to a certain q-difference analogue of the fifth Painlevé equation ...
Added: December 25, 2025
Gontsov R., Goryuchkina I., Asymptotic Analysis 2015 Vol. 93 No. 4 P. 311–325
Added: December 28, 2024
Gontsov R., Goryuchkina I., Manuscripta Mathematica 2018 Vol. 156 No. 1 P. 171–185
Added: December 20, 2024
N.V. Gaianov, A.V. Parusnikova, Siberian Mathematical Journal 2024 Vol. 65 No. 5 P. 1062–1073
We derive a special form of the q-difference equations whose solutions exist in the form of a Dulac series. We find the coefficients of the Dulac series from some algebraic difference equations having a polynomial solution under appropriate conditions. An example is given of a q-difference equation which demonstrates the lack of upper bounds for the degrees of ...
Added: September 25, 2024
Karakaya E., Sedat Alataş, Yılmaz B., Energy Efficiency 2020 Vol. 13 No. 7 P. 1457–1472
Recent studies investigating convergence in energy consumption at the sectoral level within a country suggest that aggregate energy consumption could mask considerable differential impacts that might be observed at the sectoral level. This study aims to contribute and complement the existing convergence literature with an attempt to analyze sectoral convergence in energy consumption from the ...
Added: September 23, 2022
Karakaya E., Yılmaz B., Alatas S., Environmental Science and Pollution Research 2019 Vol. 26 No. 16 P. 16682–16694
Much of the existing research analyses on emissions and climate policy are dominantly based on emissions data provided by production-based accounting (PBA) system. However, PBA provides an incomplete picture of driving forces behind these emission changes and impact of global trade on emissions, simply by neglecting the environmental impacts of consumption. To remedy this problem, ...
Added: September 23, 2022
Karakaya E., Sedat Alataş, Yılmaz B., Energy Economics 2019 Vol. 82 P. 135–138
Strazicich and List (Are CO2 Emission Levels Converging among Industrial Countries? Environmental and Resource Economics 2003; 24: 263–271) examine whether CO2 emissions converge among the twenty-one industrial countries from 1960 to 1997. This study replicates their main results and performs a similar analysis on a more recent dataset and a new econometric method. Their findings are confirmed to a large ...
Added: September 23, 2022
Anoshin V.I., Beketova A.D., Parusnikova A., , in: Computer Algebra. 4th International Conference Materials.: M.: Max press, 2021. P. 27–29.
Added: March 30, 2022
Samovol V., Mathematical notes 2021 Vol. 110 No. 1 P. 135–144
Scalar real Riccati equations with coefficients expanding in convergent power series in a neighborhood of infinity is considered. Continued solutions of such equations are studied. Power geometry methods are used to obtain conditions for expanding these solutions in asymptotic series. ...
Added: September 21, 2021
Smirnykh L. I., Woergoetter A., / Series ECON WPS "Working Papers in Economic Theory and Policy". 2021. No. 3.
In this study we analyze the convergence of GDP per capita from 2000 to2013 (current prices and euro exchange rates) for eight countries (Czech Republic, Slovakia, Slovenia, Hungary, Poland, Estonia, Latvia, and Lithuania) of the European Union (CEE8). Some convergence indicators are also calculated for the CEE8 as a whole. The main purpose of this ...
Added: May 3, 2021
Zhdanov V., Научно-аналитический журнал Обозреватель - Observer 2013 Т. 7 № 282 С. 73–79
The article describes and analyzes the writings of scholars such as Pitirim Sorokin and Zbigniew Brzezinski and their influence on the formation and development of the theory of convergence of the two world systems, as well as the revival of the spirit of Russian cosmism. The attention is paid to the fact that it was ...
Added: May 12, 2020
Parusnikova A., Vasilyev A., Journal of Mathematical Sciences 2019 Vol. 241 No. 3 P. 318–326
We examine asymptotic expansions of the third Painlevé transcendents for αδ ≠ 0 and γ = 0 in the neighborhood of infinity in a sector of aperture <2π by the method of dominant balance). We compare intermediate results with results obtained by methods of three-dimensional power geometry. We find possible asymptotics in terms of elliptic ...
Added: October 26, 2019