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К 80-летию со дня рождения Владислава Сергеевича Медведева
Журнал Средневолжского математического общества. 2023. Т. 25. № 1. С. 522–526.
Barinova M., Galkin O., Galkina S., Gonchenko S., Grines V., Gurevich E., Zhuzhoma E. V., Zhukova N., Зинина С. Х., Kazakov A., Kruglov V., Lerman L., Малкин М. И., Malyshev D., Medvedev T. V., Mints D., Morozov A., Nozdrinova E., Pelinovsky E., Polotovskiy G., Pochinka O., Remizov I., Slunyaev A., Таланова Е. А., Turaev D., Chebochko N., Chilina E., Shubin D., Yakovlev E.
Keywords: динамические системы
Chernyshov D., В кн.: XXIX Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского. Москва, 22–28 апреля 2025 года.: М.: МИЭМ НИУ ВШЭ, 2025.
Работа посвящена исследованию обобщённого отображения Чирикова, описывающего динамику плоского ротатора под действием периодического возбуждения. Получены аналитические и численные результаты, демонстрирующие стохастический характер поведения системы при бинарном режиме управления ротатором. Новым результатом является обнаружение дополнительной серии резонансов (антирезонансов) и установление границы устойчивого поведения нелинейных отображений при сложных методах управления динамикой нелинейной системы. ...
Added: May 19, 2026
Посадский К. М., Математические заметки 2026 Т. 119 № 1 С. 104–116
В работе изучаются непрерывные 2-значные динамические системы с дискретным временем (динамики) на $\mathbb{C}$. Исследуется вопрос --- можно ли задать двухзначную динамику действием некоторой двухзначной группы. В работе построен класс сильно обратимых непрерывных 2-значных динамик на $\mathbb{C}$, не задающихся действием 2-значной группы. Построен пример непрерывной 2-значной динамики на $\mathbb{C}$, не являющейся сильно обратимой, но задающейся действием ...
Added: February 27, 2026
Ошемков А. А., Tuzhilin M., Математический сборник 2018 Т. 209 № 9 С. 1351–1375
We study the stability property of singularities of integrable Hamiltonian systems under integrable perturbations. It is known that among singularities of corank 1, only singularities of complexity 1 are stable. As it turns out, in the case of two degrees of freedom, there are both stable and unstable singularities of rank 0 and complexity 2. A complete list of singularities ...
Added: September 12, 2025
Яцкин Д. В., В кн.: Сборник материалов IV Всероссийской научно-практической конференции «Вопросы контроля хозяйственной деятельности и финансового аудита, национальной безопасности, системного анализа и управления». ФГБНУ «Аналитический центр».: М.: [б.и.], 2019. С. 117–126.
Рассматривается подход к построению динамических систем, устойчивых к структурным изменениям ...
Added: March 7, 2025
Lukin A., Dmitri V., Artemyev A. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2022 Vol. 106 Article 065205
Current sheets are spatially localized almost-one-dimensional (1D) structures with intense plasma currents. They play a key role in storing the magnetic field energy and they separate different plasma populations in planetary magnetospheres, the solar wind, and the solar corona. Current sheets are primary regions for the magnetic field line reconnection responsible for plasma heating and ...
Added: October 19, 2022
Pokhodnya N., Шамолин М. В., Вестник Самарского государственного университета. Естественнонаучная серия 2013 № 9-1 (110) С. 35–41
Certain general conditions of integrability in elementary functions for the systems on the tangent bundle of two-dimensional sphere are studied. At that an interesting example of three-dimensional phase pattern of pendulum-like system which describes the motion of spherical pendulum, placed in an over-run medium flow. Sufficient conditions of existence of the first integrals expressed through ...
Added: December 14, 2021
Kiyatkina A., Shadrikov V., Вестник Ярославского государственного университета им. П.Г. Демидова. Серия Гуманитарные науки 2021 Т. 5 № 3 С. 434–443
The article discusses understanding as a human tendency to remove uncertainty through the phenomenon of «entropy». The learning process initially puts the student in a situation of constant movement from a disordered
environment to an ordered one, which occurs due to the constant interruption of the student’s inner world balance. Studies of understanding through entropy allow ...
Added: November 10, 2021
Stanislav Minkov, Shilin I., Qualitative Theory of Dynamical Systems 2021 Vol. 20 No. 3 Article 77
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows ϕ on S^2 for which the attractor of the Cartesian square of ϕ is smaller than the Cartesian square of the attractor of ϕ. In the example for the minimal attractors, the flow ϕ also has a global physical measure such that its ...
Added: September 16, 2021
Nersisyan A., Zanasi R., International Journal of Robust and Nonlinear Control 1993 Vol. 3 No. 3 P. 199–209
A modified VS feedback is suggested for robust stabilization of continuous-time dynamical systems in the presence of parametric and external time-varying disturbances satisfying the ‘matching conditions’. The main feature of the proposed algorithm is that it contains additional switching ‘integral’ terms which track the unknown disturbances and make it possible to achieve the typical VSS ...
Added: September 10, 2021
Stanislav Minkov, Ivan Shilin, / Series math "arxiv.org". 2020. No. arXiv:2011.04824.
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows φ on S^2 for which the attractor of the Cartesian square of φ is smaller than the Cartesian square of the attractor of φ. In the example for the minimal attractors, the flow φ also has an SRB-measure such that its square does ...
Added: November 12, 2020
Ivan Shilin, / Series math "arxiv.org". 2019. No. arXiv:1903.01933.
An orientation-preserving non-contractible separatrix loop of a hyperbolic saddle of a vector field on a two-dimensional surface may be accumulated by a separatrix of the same saddle. We study the unfolding of such loops in generic one-parameter families of vector fields as a semi-local bifurcation. As a byproduct, we construct a countable family of pairwise ...
Added: November 12, 2020
Stankevich N., Shchegoleva N. A., Sataev I. R. et al., Journal of Computational and Nonlinear Dynamics 2020 Vol. 15 No. 11 P. 111001
Using an example a system of two coupled generators of quasiperiodic oscillations, we study the occurrence of chaotic dynamics with one positive, two zero and several negative Lyapunov exponents. It is shown that such dynamic arises as a result of a sequence of bifurcations of two-frequency torus doubling and involve saddle tori occurring at their ...
Added: September 4, 2020
Kryzhevich S., Eugene Stepanov, Journal of Differential Equations 2019 Vol. 267 No. 6 P. 3442–3474
In a recent paper by D. Burago, S. Ivanov and A. Novikov, "A survival guide for feeble fish", it has been shown that a fish with limited velocity capabilities can reach any point in the (possibly unbounded) ocean provided that the fluid velocity field is incompressible, bounded and has vanishing mean drift. This brilliant result ...
Added: October 8, 2019
Строкин П. С., Miroshnichenko M., Новое литературное обозрение 2019 Т. 4 № 158 С. 331–338
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Added: May 30, 2019
Shilin I., Доклады Академии наук 2016 Т. 469 № 3 С. 287–290
В работе показано, что неустойчивость аттракторов Милнора по Ляпунову является локально топологически типичным динамическим явлением, которое наблюдается в присутствии устойчивых гомоклинических касаний для 2-сжимающих периодических седел. ...
Added: October 14, 2018
Demina M.V., Kudryashov N. A., Regular and Chaotic Dynamics 2016 Vol. 21 No. 3 P. 351–366
Polynomial dynamical systems describing interacting particles in the plane are
studied. A method replacing integration of a polynomial multi-particle dynamical system
by finding polynomial solutions of partial differential equations is introduced. The method
enables one to integrate a wide class of polynomial multi-particle dynamical systems. The
general solutions of certain dynamical systems related to linear second-order partial differential
equations are ...
Added: October 5, 2018
Volkova L. L., В кн.: Новые информационные технологии в автоматизированных системах: материалы шестнадцатого научно-технического семинара.: М.: Московский государственный институт электроники и математики, 2013. С. 317–328.
В статье дан краткий обзор ключевых этапов развития машинной лингвистики в разрезе анализа и синтеза текста. Выделены проблемы работы с языком, являющиеся фундаментальными ограничениями, отделяющими существующий уровень развития отрасли от качественно нового. Рассмотрены перспективные теории, предлагающие новый подход к рассмотрению языка и открывающие возможность заглянуть за барьер машинной лингвистики. ...
Added: January 31, 2018
Providence, Rhode Island: American Mathematical Society, 2017.
This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov.
It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of ...
Added: October 12, 2017
Mikheev A. V., Теория. Практика. Инновации 2017 № 9 (21)
In this paper we consider the calculation of a dynamical system described by a second-order differential equation in which a fundamental system of solutions consisting of functions of exponential type is replaced by bounded functions of the Verhulst model. The time dependence of the forces acting on the dynamical system is analyzed, and the obtained ...
Added: September 6, 2017
Kleptsyn V., Alvarez S., Malicet D. et al., / Series math "arxiv.org". 2015.
Added: June 22, 2016
Skripchenko A., Troubetzkoy S., Annales de l'Institut Fourier 2015 Vol. 65 No. 5 P. 1881–1896
We study the billiard on a square billiard table with a one-sided vertical mirror.
We associate trajectories of these billiards with double rotations and study orbit behavior and questions of complexit ...
Added: March 2, 2016
Protasov V., Systems and Control Letters 2016 Vol. 90 P. 54–60
We prove the existence of positive linear switching systems (continuous time), whose trajectories grow to infinity, but slower than a given increasing function. This implies that, unlike the situation with linear ODE, the maximal growth of trajectories of linear systems may be arbitrarily slow. For systems generated by a finite set of matrices, this phenomenon ...
Added: February 22, 2016