Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23

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Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts

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This collection of articles contains materials of the talks presented at the International Conference «Systems Analysis: Modeling and Control» in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024.

Stochastic modifications of DeGroot opinion dynamics model

Anatoly Manita, Larisa Manita, , in: Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts.: -, 2024. P. 21–23.

We propose a stochastic variation of the famous DeGroot model which is a basic Repeated Linear Updating Model. We study the limit distribution L∞ of the corresponding multidimensional stochastic process. We show that under some assumption the limit distribution exists. We calculate basic characteristics of the law L∞ and get some asymptotical results . Besides analytical results, ...

Added: June 24, 2024

SPIRAL-LIKE SOLUTIONS IN OPTIMAL CONTROL PROBLEMS WITH CONTROL IN A DISK

Ronzhina M., Manita L., , in: Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts.: -, 2024. P. 25–26.

For some class of small-dimensional optimal control problems we found a family of extremals in the form of logarithmic spirals. These extremals reach the singular surface in a finite time, while the control performs an infinite number of rotations around the circle. ...

Added: October 8, 2025

Research target: Mathematics

Language: English

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Systems Analysis: Modeling and Control: Materials of the International Conference in memory of Academician A.V. Kryazhimskiy, Moscow, January 23–24, 2024. Abstracts

Характеристические алгебры и интегрируемые системы экспоненциального типа

Смирнов С. В., Миллионщиков Д. В., Уфимский математический журнал 2021 Т. 13 № 2 С. 44–73

В данной работе изучаются характеристические алгебры для систем экспоненциального типа, соответствующих вырожденным матрицам Картана. Эти системы обобщают хорошо известные в теории интегрируемых систем гиперболические уравнения синус-Гордон и Цицейки. Для таких систем, соответствующих матрицам Картана ранга 2, характеристические алгебры описаны явно в терминах образующих и соотношений, и доказано, что они имеют линейный рост. Исследуется связь между ...

Added: September 11, 2026

Darboux formulae for linear hyperbolic equations in the discrete case

Смирнов С. В., Glasgow Mathematical Journal 2026 Vol. 68 No. 2 P. 299–316

In the second half of the 19th century Darboux obtained determinant formulae that provide the general solution for a linear hyperbolic second order PDE with finite Laplace series. These formulae played an important role in his study of the theory of surfaces and, in particular, in the theory of conjugate nets. During the last three ...

Added: September 11, 2026

Integral preserving discretization of 2D Toda lattices

Смирнов С. В., Journal of Physics A: Mathematical and Theoretical 2023 Vol. 56 No. 26 Article 265204

There are different methods of discretizing integrable systems. We consider semi-discrete analog of two-dimensional Toda lattices associated to the Cartan matrices of simple Lie algebras that was proposed by Habibullin in 2011. This discretization is based on the notion of Darboux integrability. Generalized Toda lattices are known to be Darboux integrable in the continuous case ...

Added: September 11, 2026

ВЕРОЯТНОСТНЫЕ МОДЕЛИ РАЗМЕЩЕНИЯ ПО ЯЧЕЙКАМ СЛУЧАЙНОГО ЧИСЛА ЧАСТИЦ

Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 132–138

In schemes S for placing r particles in n distinguishable cells, their placement in selected m cells – schemes S∗ is studied, for which the analysis is carried out by a new enumerative method (EM) in extended areas of enumerative combinatorics: finding the number of outcomes and, based on the construction of a model of ...

Added: September 11, 2026

КОМБИНАТОРНЫЙ АНАЛИЗ СХЕМ РАЗМЕЩЕНИЯ ЧАСТИЦ С ЗАДАННЫМ МАКСИМАЛЬНЫМ УРОВНЕМ ЗАПОЛНЕНИЯ ЯЧЕЕК

Enatskaya N., Труды Карельского научного центра РАН. Серия 10: Математическое моделирование и информационные технологии 2026 № 6 С. 139–147

The class of particle cell arrangements under consideration is characterized by the introduction of an upper limit on the filling levels of the cells, which must be achieved in at least one cell of each outcome of each arrangement. The circuits are distinguished by the paired qualities of their constituent elements (cells and particles) according ...

Added: September 11, 2026

Многокритериальные задачи с упорядоченными по важности группами критериев (II). Решающие правила

Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123

Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной важностью. Исследованы его свойства. Указаны аналитические правила, позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...

Added: September 9, 2026

Теоретические основы и методы анализа решений в условиях неопределенности при качественных оценках вероятностей и предпочтений

Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126

Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...

Added: September 9, 2026

Degree-based topological co-indices for QSPR modelling of benzenoid hydrocarbons: a comparative computational study

Chemical Papers 2026

Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...

Added: September 8, 2026

On phase-lock area parquet in a special slow-fast limit of model of Josephson junction.

Glutsyuk A., / Series arXiv "math". 2026.

B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...

Added: September 8, 2026

On exotic rationally integrable dual billiards I. Complex geometry and type of dynamics.

Glutsyuk A., / Series arXiv "math". 2026.

A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...

Added: September 8, 2026

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking

Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178

The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...

Added: September 8, 2026

On rationally integrable planar dual and projective billiards

Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058

A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...

Added: September 8, 2026

Rational p-adic Hodge theory for d-de Rham-proper stacks

Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438

In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...

Added: September 7, 2026

Lower Bounds on the Measure of the Support of Positive and Negative Parts of Trigonometric Polynomials

Ismailov A., Constructive Approximation 2026

The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f is bounded from below by the Motzkin density. We generalize the bound to polynomials in several variables and almost periodic functions. We then use these generalizations to extend known results on Taikov’s problem. ...

Added: September 7, 2026

Variational representation of weighted divergencies and error exponent function

Kelbert M., Statistics 2026 Vol. 60

We present variational representations for the weighted divergencies and exponential error function, and discuss implications for the statistical inference and entropic optimal transport. ...

Added: September 7, 2026

Конечные последовательности и перестановки, ими порождаемые

Kucheryavyy P., Математические заметки 2026 Т. 2026 № 120 С. 380–401

В работе изучаются перестановки, возникающие при упорядочивании по возрастанию дробных долей произведений элементов фиксированной целочисленной последовательности на вещественный параметр. Исследуется количество различных перестановок, которые можно получить таким образом при изменении этого параметра от нуля до единицы. ...

Added: September 7, 2026

Относительные аналитические законы взаимности

Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146

Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...

Added: September 3, 2026

Optimal navigation in two-dimensional flows: Control theory and reinforcement learning

Parfenyev V., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 No. 1 Article 015104

Zermelo's navigation problem seeks the trajectory of minimal travel time between two points in a fluid flow. We address this problem for an agent -- such as a floating drone or active particle -- that is advected by a two-dimensional flow, self-propels at a fixed speed smaller than or comparable to the characteristic flow velocity, ...

Added: July 17, 2026

Influence of the Normal Magnetic Component to Magnetotail Current Sheet Forma

Domrin V. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2026 Vol. 64 No. 2 P. 238–252

During magnetospheric perturbations a relatively thin current sheet with thickness about several proton gyroradii forms in the Earth’s magnetotail. In a framework of the kinetic model describing current sheet thinning in the magnetotail, the processes of its formation are investigated depending on the normal magnetic field magnitude which affects both the current sheet structure and particle dynamics within ...

Added: April 27, 2026

Conceptual Knowledge Structures First International Joint Conference, CONCEPTS 2024, Cádiz, Spain, September 9–13, 2024, Proceedings

Obiedkov S., Switzerland: Springer, 2024.

This book constitutes the proceedings of the First International Joint Conference on Conceptual Knowledge Structures, CONCEPTS 2024, which took place in Cádiz, Spain, during September 9-13, 2024. The conference is an amalgamation of the 18th International Conference on Formal Concept Analysis (ICFCA); the 17th International Conference on Concept Lattices and Their Applications (CLA); and the 28th ...

Added: January 23, 2026

Computation of Periodic Libration Point Orbits in the Circular Restricted Three-Body Problem

Gafurova D., Sergey Aksenov, Regular and Chaotic Dynamics 2025 Vol. 30 No. 6 P. 969–991

The circular restricted three-body problem is used as an approximate model in space mission planning. Its periodic solutions around equilibrium points, which are referred to as the libration points, are utilized for exploration of possible spacecraft trajectories in the preliminary stages of mission design. In this paper, a numerical methodology for periodic libration point orbits ...

Added: November 24, 2025

Optimal Control for Stochastic Multi-agent Systems With the Use of Parallel Hybrid Genetic Algorithm

Akopov A. S., Beklaryan A., , in: Numerical Computations: Theory and Algorithms. 4th International Conference, NUMTA 2023, Pizzo Calabro, Italy, June 14–20, 2023, Revised Selected Papers, Part IVol. 14476.: Springer Publishing Company, 2025. P. 273–280.

In modern times, stochastic large-scale multi-agent systems (MAS) aimed at supporting socio-economic planning are being developed. There is a well known problem of a high computational complexity task of an optimal control for multiple agents’ behaviour in models of random interactions. In particular, agents (such as sellers and buyers) should make individualised decisions on establishing ...

Added: November 23, 2025

SPIRAL-LIKE SOLUTIONS IN OPTIMAL CONTROL PROBLEMS WITH CONTROL IN A DISK

Added: October 8, 2025

Analysis of a Company Model in Conditions of Unstable Demand Using Reinforcement Learning Methods

Delev A., Semakov S., , in: 2025 8th International Conference on Artificial Intelligence and Big Data (ICAIBD).: IEEE, 2025. P. 318–322.

Profit is one of the most important economic indicators of a company’s performance, and for every company it is necessary to allocate resources in such a way as to obtain the maximum possible profit. The profit maximization problem is usually a dynamic optimization problem. This article discusses an approach to solving the production expansion problem ...

Added: August 25, 2025