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Bibliometric Analysis by Network Models
Springer, 2026.
The book contains new models of bibliometric analysis based on centrality measures in network analysis, pattern analysis and stability analysis. A distinctive feature of these centrality measures is that they account for the parameters of vertices and group influence of vertices to a vertex. This reveals specific groups of publications, authors, terms, journals and affiliations of the authors depending on different parameters of publications. Pattern analysis and stability analysis allow the tendencies in developing of the field of research over years to be revealed. These new models are illustrated by an analysis of 39,811 articles on various aspects of Parkinson’s disease, published between 2015 and 2021. This methodology can be useful for researchers of any scientific domain, because it enables them to identify key and actively developing trends as well as major players in the field. Moreover, this approach allows to determine main tendencies in the entire research community as well as in the specific parts of it that may have gone unnoticed before. The obtained results of the analysis are useful not only for researchers but also for journals, editorial teams, scientific organizations, and investors.
Lerman L. M., Turaev D. V., Regular and Chaotic Dynamics 2026 Vol. 31 No. 3 P. 349–369
We show that bifurcations of four-dimensional symplectic diffeomorphisms with a quadratic homoclinic tangency to a saddle periodic orbit with real multipliers produce 2-elliptic periodic orbits if the tangency is not partially hyperbolic. We show that a normal form for the rescaled first-return maps near such tangency is given by a four-dimensional symplectic H´enonlike map and study bifurcations of the ...
Added: May 15, 2026
Kuptsov P., Panyushev A., Stankevich N., Chaos 2026 Vol. 36 No. 5 Article 053138
We develop a machine-learning approach to reproduce the behavior of two versions of the van der Pol oscillator exhibiting a subcritical Andronov–Hopf bifurcation, with or without a codimension-2 Bautin point. We construct a neural-network model that functions as a recur rent map and train it on short segments of oscillator trajectories. The results show that, ...
Added: May 15, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Lebedev V., Journal of Mathematical Analysis and Applications 2026 Vol. 563 No. 2 Article 130787
It is known that for every continuous real-valued
function $f$ on the circle $\mathbb T=\mathbb R/2\pi\mathbb Z$ there exists a
change of variable, i.e., a self-homeomorphism $h$ of $\mathbb T$, such that
the superposition $f\circ h$ is in the Sobolev space $W_2^{1/2}(\mathbb T)$.
We obtain new results on simultaneous improvement of functions by a single
change of variable in relation ...
Added: May 14, 2026
Blokh A., Oversteegen L., Selinger N. et al., Arnold Mathematical Journal 2025 Vol. 12 No. 1 P. 1–40
We describe a model for the boundary of the connectedness locus of the parameter space of cubic symmetric polynomials. We show that there exists a monotone continuous function from the connectedness locus to the model which is a homeomorphism if the former is locally connected. ...
Added: May 13, 2026
Petrov I., Автоматика и телемеханика 2026 № 6 С. 82–118
Системам связанных агентов и сетевому управлению посвящено большое число отечественных и зарубежных исследований. Исторически, наибольший интерес в теории управления возникал к усредняющим системам и, в частности, к задаче консенсуса. Однако сетевое взаимодействие может характеризоваться более специфическими функциями, отражающими зависимость от действий соседей по сети, что особенно явно проявляется в моделях стратегического взаимодействия на сети, которое ...
Added: May 12, 2026
Maltseva D., Shcheglova T., Vashchenko V., Социологические исследования 2026 № 1 С. 62–74
The article continues to present the results of the analysis of collaboration networks of Russian sociologists in 2010–2021. It was conducted on the basis of data on co-authorship of scientific articles indexed in the electronic library eLibrary (75,232 scientific publications on sociology). The methodology of bibliometric network analysis implies the construction of several types of ...
Added: May 12, 2026
М.: ООО «Макс Пресс», 2026.
В настоящем сборнике представлены тезисы докладов участников семинара "Интеграция основного и дополнительного физико-математического образования", проходившего 11 февраля 2026 года в ГБОУ Школа №2007 ФМШ г. москвы, а также другие публикации, посвящённые вопросам дополнительного физико-математического образования. ...
Added: May 11, 2026
Novikov R., Sivkin V., Inverse Problems 2026 Vol. 42 No. 4 Article 045009
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for
the Helmholtz equation in an exterior region in Rd, d ⩾ 2. In this region, we consider a hyperplane X with sufficiently large distance s from the origin in Rd. We give two-point local formulas
for approximate recovering the radiation ...
Added: May 11, 2026
Hecht M., Hofmann P., Wicaksono D. et al., IMA Journal of Numerical Analysis 2026 Vol. 00 P. 1–30
Recent advances in Bernstein—Walsh theory have extended Bernstein’s Theorem to multiple dimensions, stating that a multivariate function can be approximated with a geometric rate in a downward-closed polynomial space if and only if it is analytic in a generalized Bernstein polyellipse. To compute approximations of this class of functions—which we term Bos–Levenberg–Trefethen–(BLT) functions—we extend the ...
Added: May 11, 2026
Kelbert M., Kalimulina E. Y., Entropy 2026 Vol. 28 Article 536
We study binary hypothesis testing for i.i.d. observations under a multiplicative context
weight. For the optimal weighted total loss, defined as the sum of weighted type-I and typeII losses, we prove the logarithmic asymptotic L∗n = exp{−nDwC (P,Q) + o(n)}, n →∞, where Dw
C is the weighted Chernoff information. The single-letter form of the exponent
relies on ...
Added: May 7, 2026
Белоусов Н. М., Черепанов Л. К., Деркачов С. Э. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 44
We prove equivalence of two integral representations for the wave functions of hyperbolic Calogero–Sutherland system. For this we study two families of Baxter operators related to hyperbolic Calogero–Sutherland and rational Ruijsenaars models; the first one as a limit from hyperbolic Ruijsenaars system, while the second one independently. Besides, computing asymptotics of integral representations and also ...
Added: May 6, 2026
Муравьев М. Ю., Annales Mathematiques du Quebec 2025
Recently Rohleder proposed a new variational approach to an inequality between the Neumann and Dirichlet eigenvalues in the simply connected planar case using the language of classical vector analysis. Interpreting his approach in terms of differential forms permits to generalize these results to a much broader context. The spectrum of the absolute boundary problem for ...
Added: May 6, 2026
Цыганов А. В., Порубов Е. О., Теоретическая и математическая физика 2026 Т. 227 № 2 С. 336–355
Теория тензорных инвариантов обыкновенных дифференциальных уравнений и классификация Картана простых алгебр Ли используется для установления изоморфизма задачи Козлова о движении ферромагнетика в магнитном поле и задачи Шоттки о движении четырехмерного твердого тела. Найдены новые полиномиальные и рациональные бивекторы Пуассона, инвариантные либо относительно пары коммутирующих фазовых потоков, либо относительно одного из пары потоков. ...
Added: May 5, 2026
Монахова Э. А., Монахов О. Г., Rzaev E. et al., Прикладная дискретная математика 2026 Т. 71 С. 112–127
В настоящей работе исследовано совместное конструирование топологий семейств оптимальных по диаметру циркулянтных сетей $C(N; \pm 1, \pm s_2)$ и реализуемых для них оптимальных алгоритмов маршрутизации сложности $O(1)$. Предлагаемый алгоритм маршрутизации основан на использовании масштабируемых параметров $L$-образных шаблонов плотной укладки графов на плоскости для семейств оптимальных сетей.
Определены аналитические формулы зависимости этих параметров от диаметра графов семейств ...
Added: May 4, 2026
Dudakov S., Lobachevskii Journal of Mathematics 2025 Vol. 46 No. 12 P. 6092–6102
We study the additive theory of arbitrary figures in linear spaces, that is, the theory of
addition extended to sets of vectors. Our main result is the following: if a linear space is infinite,
then the additive theory of figures admits interpreting second-order arithmetic and, therefore, it has
such or higher degree of undecidability. For countably infinite spaces, ...
Added: May 1, 2026
Pakhomova A., Вестник Московского университета. Серия 9: Филология 2026 № 1 С. 162–177
Beginning in the mid-1920s Aleksandr Vvedensky, Daniil Kharms,
and Konstantin Vaginov became acquainted with the circle of the poet, writer, and
playwright Mikhail Kuzmin, and by the close of this decade, they became regular
visitors to his residence. The interactions between Kuzmin and the Oberiuts has
been sufficiently developed; however, numerous studies have shifted the focus to the
pragmatics of ...
Added: April 1, 2026
Volkovskii D., Olga Filatova, Bolgov R., , in: 15th International Conference, SCSM 2023, Held as Part of the 25th HCI International Conference, HCII 2023, Copenhagen, Denmark, July 23–28, 2023, Proceedings, Part I. Social Computing and Social Media. (LNCS, volume 14025)Vol. 14025.: Cham: Springer Publishing Company, 2023. P. 146–163.
The paper intends to contribute to a better comprehension of literature on online deliberation and demonstrate possibilities of using software provided for automated processing of information arrays downloaded from bibliographic databases for scientometric analysis of a complex interdisciplinary research domain. We present a descriptive analysis of sources and authors in order to detect what meanings ...
Added: February 26, 2026
Barkhatova L., В кн.: Человек в информационном обществе: сборник материалов третьей международной научно-практической конференции, посвящённой 80-летию Победы в Великой Отечественной войне, 23–26 апреля 2025 года, г. Самара.: Самара: Самарский национальный исследовательский университет имени академика С.П. Королева, 2025. С. 94–98.
The analytical possibilities of using semantic network analysis in qualitative research are considered. A scheme for constructing a semantic map and its integration with the results of the qualitative stage is proposed. It is shown that the implementation of semantic networks for analyzing qualitative data enables validation of conclusions. ...
Added: January 25, 2026
Алексеева-Карневали О. А., Гаршенина Е. Л., Kotsemir M. N. et al., М.: ИСИЭЗ ВШЭ, 2025.
В работе представлены результаты сопоставительного анализа социально-экономических и научных усилий стран БРИКС в области устойчивого развития. Для оценки социально-экономических усилий каждой из стран объединения анализируются индексы устойчивого развития по 17 Целям устойчивого развития, проводится сравнение с профилем России. Для оценки научных усилий рассматриваются индикаторы публикационной активности, анализируются наукометрические профили государств в разрезе Целей устойчивого развития (ЦУР), что позволяет понять, в каком из этих направлений наука ...
Added: January 23, 2026
Tunkevichus O., Bagrationi K., , in: The Proceedings of the 20th European Conference on Innovation and EntrepreneurshipVol. 20. Issue 1.: Academic Conferences International Limited, 2025. P. 759–766.
AI is rapidly shaping modern higher education in the last 3 years. This paper aims to identify key areas and prospects of readiness to use AI in higher education. The following research question was formulated: What new research directions are observed in the existing discourse on readiness for the spread of artificial intelligence technologies in ...
Added: December 4, 2025
Baskakova E., Sizova I., Псковский регионологический журнал 2025 Т. 21 № 4 С. 145–166
Digital technologies are increasingly penetrating all sectors. The tourism sector was no exception. Research in this area highlights the importance of digitalization for tourism development both in the cases of force majeure (global crises like pandemics, extreme natural events, various problems with transport infrastructure or conflicts) and in the context of total digitalization. Digitalization allows ...
Added: November 19, 2025
Alexey Myachin, Studies in Systems, Decision and Control 2025 Vol. 615 P. 12–20
In this paper, we introduce a refined and rigorous methodological framework for the validation and quality assessment of pattern analysis outcomes. Our approach synergistically integrates a formal algorithmic model with novel conceptual constructs - specifically, the notions of the empty pattern and pattern complexity. A comprehensive array of metric approaches is employed to evaluate pattern analysis ...
Added: November 5, 2025
Андриянов Д. А., Брагина А. Б., Kechik U. et al., Полития: Анализ. Хроника. Прогноз 2025 Т. 118 № 3 С. 80–107
It has long been generally accepted in Political Science that distributed elite networks, rather than institutions, are crucial to the functioning of the Russian political system. One of the important factors in the formation of such networks is ethnicity. Of particular interest is the ethnic dynamics in those regions, where there is no dominant ethnic ...
Added: September 25, 2025