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Регистрация возмущений в Японском море, вызванных извержением вулкана Хунга-Тонга-Хаапай в архипелаге Тонга 15.01.2022
Доклады Академии Наук. Науки о Земле. 2022. Т. 506. № 2. С. 259–264.
On January 15, 2022, a catastrophic eruption of Hunga-Tonga-Hunga-Ha’apai volcano in the
Tonga archipelago occurred, accompanied by a strong explosive wave felt at very great distances from the volcano,
as well as causing tsunami waves on nearby islands and sea level fluctuations at a distance from the volcano.
The results of analysis of the perturbations caused by this eruption recorded on the Russian coast of the
Sea of Japan are presented.
Gorbounov Vassily, Kazakov A., Data Analytics and Topology 2025 Vol. 1 No. 1 P. 33–45
A classic problem in data analysis is studying the systems of subsets defined by either a similarity or a dissimilarity function on X which is either observed directly or derived from a data set.
For an electrical network there are two functions on the set of the nodes defined by the resistance matrix and the response ...
Added: May 28, 2026
Degtyarev A., Bakhurin S., Yudin N., DSPA 2026 P. 1–6
This paper investigates one possible solution to the problem of self-interference cancellation (SIC) arising in the design of in-band full-duplex (IBFD) communication systems. Self-interference cancellation is performed in the digital domain using multilayer nonlinear models adapted via gradient-based optimization. The presence of local minima and saddle points during the adaptation of multilayer models limits the ...
Added: May 26, 2026
Ilyashenko Y., Shilin I., Stanislav Minkov, Russian Journal of Mathematical Physics 2026 Vol. 33 No. 1 P. 89–106
In this paper, new numerical invariants of structurally unstable vector fields in the plane
are found. One of the main tools is an improved asymptotics of sparkling saddle connections that
occur when a separatrix loop of a hyperbolic saddle breaks. Another main tool is a new topological
invariant of two arithmetic progressions, both perturbed and unperturbed, on the ...
Added: May 26, 2026
Gusev I., Maksaev A., Promyslov V., Journal of Mathematical Sciences 2025 Vol. 299 No. 6
The regular graph of the space of n × m matrices over a field F is defined as the undirected graph whose vertices are matrices of rank min(n, m), and distinct matrices A and B are connected by an edge if and only if rk(A + B) < min(n, m). In this paper, for |F| ...
Added: May 25, 2026
Tyukin I., Tyukina T., van Helden D. P. et al., Information Sciences 2024 Vol. 678 Article 120856
AI errors pose a significant challenge, hindering real-world applications. This work introduces a novel approach to cope with AI errors using weakly supervised error correctors that guarantee a specific level of error reduction. Our correctors have low computational cost and can be used to decide whether to abstain from making an unsafe classification. We provide ...
Added: May 23, 2026
Zaikin A., Sviridov I., Sosedka A. et al., Technologies 2026 Vol. 14 No. 2 Article 84
High-dimensional tabular data are common in biomedical and clinical research, yet conventional machine learning methods often struggle in such settings due to data scarcity, feature redundancy, and limited generalization. In this study, we systematically evaluate Synolitic Graph Neural Networks (SGNNs), a framework that transforms high-dimensional samples into sample-specific graphs by training ensembles of low-dimensional pairwise ...
Added: May 23, 2026
Chertopolokhov V., Mukhamedov A., Bugriy G. et al., IEEE Access 2026 Vol. 14 P. 14369–14392
This study presents on-the-fly identification and multi-step prediction of nonlinear systems with delayed inputs using a dynamic neural network combined with a smooth projection onto ellipsoids. The projection enforces parameter constraints that guarantee stability, while a Lyapunov–Krasovskii analysis yields computable ultimate error bounds. Riccati-type matrix inequalities are derived, providing an efficient vectorization–projection–devectorization implementation suitable for ...
Added: May 22, 2026
Морозов С. В., Calcolo 2026 Vol. 63 No. 2 Article 23
The approximation of tensors in a low-para metric format is a crucial component in many mathematical modelling and data analysis tasks. Among the widely used low-parametric representations, the canonical polyadic (CP) decomposition is known to be very efficient. Nowadays, most algorithms for CP approximation aim to construct the approximation in the Frobenius norm; however, some ...
Added: May 22, 2026
Селянин Ф. И., Journal of Dynamical and Control Systems 2026 Vol. 32 No. 2 Article 18
A B-facet is a lattice -dimensional polytope in the positive octant with a positive normal covector, such that every -dimensional simplex with vertices in it is a B-simplex (i.e., a pyramid of height one with base on a coordinate hyperplane). B-facets were introduced in [2] in the context of the monodromy conjecture. In this paper, we complete the ...
Added: May 21, 2026
Ausubel L., Baranov O., Journal of Economic Theory 2026 Vol. 235 Article 106192
The Vickrey-Clarke-Groves (VCG) mechanism is one of the most compelling constructs in mechanism design, but the presence of complementary goods creates the possibility of non-core and even zero-revenue outcomes. In this article, we show that joint feasibility constraints on allocations offer a second pathway to ill-behaved outcomes in the VCG mechanism, even when all bidders ...
Added: May 20, 2026
Denis Seliutskii, Russian Journal of Mathematical Physics 2025 Vol. 32 No. 2 P. 399–407
In this paper, we find an upper bound for the first Steklov eigenvalue for a surface of revolution with boundary consisting of two spheres of different radii. Moreover, we prove that, in some cases, this boundary is sharp. ...
Added: May 19, 2026
Жакупов О. Б., European Journal of Mathematics 2025 Vol. 11 Article 84
We provide examples of smooth three-dimensional Fano complete intersections of degree 2, 4, 6, and 8 that have absolute coregularity 0. Considering the main theorem of Avilov, Loginov, and Przyjalkowski (CNTP 18:506–577, 2024) on the remaining 101 families of smooth Fano threefolds, our result implies that each family of smooth Fano threefolds has an element of absolute ...
Added: May 18, 2026
Gurevich E., Saraev I., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 19–56
In this paper, we consider a class of gradient-like ows without heteroclinic
intersections, dened on closed manifolds of dimension four. We show that for
such ows, the problem of complete topological classication can be reduced to
the combinatorial problem of distinguishing special framed graphs describing
the mutual arrangement of invariant manifolds and the action of the ow on a
wandering ...
Added: May 18, 2026
N. V. Mkrtchyan, Regional Research of Russia 2026 Vol. 16 No. 1 P. 170–181
The aim of the study is to assess the provision of all settlements in four regions of the Near North of Russia (Vologda, Kostroma, Kirov, and Yaroslavl oblasts) with social infrastructure institutions and to analyze whether the migration balance of settlements is associated with different provision of these institutions. The study was conducted using data ...
Added: May 16, 2026
Gonchenko S., Lerman L., Turaev D., 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
Aleskerov F. T., Khutorskaya O., Stepochkina A. et al., 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 ...
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
Зайцев А. И., Pelinovsky E., Костенко И. С. et al., Морской гидрофизический журнал 2026 Т. 42 № 2 С. 263–274
Purpose. The purpose of this study is to investigate the parameters of the Kamchatka tsunami induced by the earthquake of July 29 (30), 2025, off the Kamchatka Peninsula, and its manifestations on the northern coast of Shumshu Island (Northern Kuril Islands), based on field survey results and numerical simulations. Methods and Results. The results of ...
Added: May 4, 2026
Kostenko I. S., Zaytsev A. I., Pelinovsky E., Doklady Earth Sciences 2025 Vol. 525 No. 2 Article 30
This work reports on results of numerical modeling of tsunami waves on July 29, 2025, which
occurred after a powerful earthquake with a magnitude of 8.8 near the southeastern coast of Kamchatka (Russia).
These results were compared with instrumental data from the nearest DART buoys, measured wave
heights on Paramushir and Shumshu islands and mareograms in Kurilsk (Iturup) ...
Added: November 13, 2025
Talipova T., Pelinovsky E., Didenkulova E., Natural Hazards 2025 Vol. 121 No. 1 P. 661–675
An analysis of internal waves arising in a two-layer fluid during an explosive eruption of an underwater volcano is performed. Processes occurring in the near zone are parameterized by the initial source in the form of a displacement of the water column, as proposed by Le Méhaute (Mehaute, Adv Hydrosci 7:1–79, 1971). Then the linear ...
Added: January 13, 2025
Talipova T., Pelinovsky E., Ekaterina Didenkulova, Physics of Fluids 2024 Vol. 36 No. 4 Article 042110
This article discusses the problem of generating internal waves during explosive eruptions of underwater volcanoes. The importance and novelty of such studies are associated with the emerging data on the observation of internal waves during a volcanic eruption in the Tonga Archipelago in 2022 reported in Zhang and Li [“Oceanic internal waves generated by the Tongan volcano ...
Added: May 30, 2024
Klyachko M., Zaytsev A., Talipova T. et al., , in: Handbook for Management of Threats: Security and defense, resilience and optimal strategiesBook 205.: Springer, 2023. Ch. 8 P. 159–192.
The purpose of the present paper is to describe orderly the ways, mechanisms, and tool box recommended to reduce tsunami disasters ensuring sustainable sea coast safety on the examples of research carried out in Russia based on Set of Rules 292.1325800.2017 “Buildings and structures on tsunami hazardous areas. Regulations of design” (further Set of Rules ...
Added: December 29, 2023
Rybkin A., Nikolsky D., Pelinovsky E. et al., Water Waves 2021 Vol. 3 No. 1 P. 267–296
We put forward a solution to the initial boundary value (IBV) problem for the nonlinear
shallow water system in inclined channels of arbitrary cross section by means of
the generalized Carrier–Greenspan hodograph transform (Rybkin et al. in J Fluid
Mech, 748:416–432, 2014). Since the Carrier–Greenspan transform, while linearizing
the shallow water system, seriously entangles the IBV in the hodograph ...
Added: April 21, 2021
Zaytsev A. I., Kurkin A. A., Pelinovsky E. et al., Journal of Applied Mechanics and Technical Physics 2020 Vol. 61 No. 7 P. 1140–1152
Mathematical models that are applicable to the simulation of the generation and propagation
of tsunami waves from different sources, that is, underwater earthquakes, submarine landslides,
and meteotsunamis, are described. The models are based on the well-known nonlinear shallow-water
theory and its dispersion generalizations in two horizontal dimensions. Long wave dispersion related
to the finiteness of water depth increases the ...
Added: March 8, 2021