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Subject
News
May 18, 2026
The 'Second Shift' Is Not Why Women Avoid News
Women are more likely than men to avoid political and economic news, but the reasons for this behaviour are linked less to structural inequality or family-related stress than to personal attitudes and the emotional perception of news content. This conclusion was reached by HSE researchers after analysing data from a large-scale survey of more than 10,000 residents across 61 regions of Russia. The study findings have been published in Woman in Russian Society.
May 15, 2026
Preserving Rationality in a Period of Turbulence
The HSE International Laboratory for Logic, Linguistics and Formal Philosophy studies logic and rationality in a transformed world characterised by a diversity of logical systems and rational agents. The laboratory supports and develops academic ties with Russian and international partners. The HSE News Service spoke with the head of the laboratory, Prof. Elena Dragalina-Chernaya, about its work.
May 15, 2026
‘All My Time Is Devoted to My Dissertation
Ilya Venediktov graduated from the Master’s programme at the HSE Tikhonov Moscow Institute of Electronics and Mathematics through the combined Master’s–PhD track and is currently studying at the HSE Doctoral School of Engineering Sciences. At present, he is undertaking a long-term research internship at the University of Science and Technology of China in Hefei, where he is preparing his dissertation. In this interview, he explains how an internship differs from an academic mobility programme, discusses his research topic, and describes the daily life of a Russian doctoral student in China.

 

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Dynamical Systems, Differential Equations and Applications

AIMS, 2016.
Chapters
Analysis of the archetypal functional equation in the non-critical case
Molchanov S., Bogachev L., Derfel G., , in: Dynamical Systems, Differential Equations and Applications.: AIMS, 2016. P. 132–141.
...
Added: June 22, 2016
Language: English
Keywords: динамические системыdynamical systems
Dynamical Systems, Differential Equations and Applications
Similar publications
Взаимодействие резонансов и глобальный хаос в динамике ротатора, возбуждаемого бинарной последовательностью импульсов
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
Непрерывные двухзначные динамические системы с дискретным временем и действия двухзначных групп
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
Интегрируемые возмущения седловых особенностей ранга 0 интегрируемых гамильтоновых систем
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
Singularities of integrable Hamiltonian systems with the same boundary foliation. An infinite series
Tuzhilin M., Moscow University Mathematics Bulletin 2016 Vol. 71 No. 5 P. 185–190
Four-dimensional momentum mapping singularities of integrable Hamiltonian systems with two degrees of freedom are considered. An infinite series of pairs of 4-dimensional saddle–saddle singularities is constructed so that 4-singularities from each pair are not Liouville equivalent, but 2-foliations on their 3-boundaries are Liouville equivalent. ...
Added: September 12, 2025
Invariants of four- and three-dimensional singularities of integrable systems
Tuzhilin M., Doklady Mathematics 2016 Vol. 93 No. 2 P. 186–189
A relationship between invariants of four-dimensional singularities of integrable Hamiltonian systems (with two degrees of freedom) and invariants of two-dimensional foliations on three-dimensional manifolds being the “boundaries” of these four-dimensional singularities is discovered. Nonequivalent singularities which, nevertheless, have equal three-dimensional invariants are found. ...
Added: September 12, 2025
Подход к построению динамических систем, устойчивых к структурным изменениям
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
Elementary Solution to the Fair Division Problem
M. L. Blank, Polyakov M. O., Problems of Information Transmission 2024 Vol. 60 No. 1 P. 53–70
A new and relatively elementary approach is proposed for solving  the problem of fair division of a continuous resource (measurable space,  pie, etc.) between several participants, the selection criteria  of which are described by charges (signed measures).  The setting of the problem with charges is considered for  the first time. The problem comes down to analyzing the properties  of the trajectories ...
Added: January 16, 2025
Upper bound on saturation time of metric graphs by intervals moving on them
Eliseev A., Chernyshev V. L., Journal of Mathematical Analysis and Applications 2024 Vol. 531 No. 2, Part 2 Article 127873
In this paper we study a dynamical system of intervals moving on a metric graph with incommensurable edge lengths. This system can be generally viewed as a collection of congruent intervals moving around the network at unit speed, propagating along all respective incident edges whenever they pass through a vertex. In particular, we analyse the ...
Added: November 22, 2023
Vladislav Sergeevich Medvedev. On the occasion of his 80th birthday.
Barinova M., Galkin O., Galkina S. et al., Russian Journal of Nonlinear Dynamics 2023
Vladislav Sergeevich Medvedev. On the occasion of his 80th birthday. ...
Added: March 9, 2023
К 80-летию со дня рождения Владислава Сергеевича Медведева
Barinova M., Galkin O., Galkina S. et al., Журнал Средневолжского математического общества 2023 Т. 25 № 1 С. 522–526
К 80-летию со дня рождения Владислава Сергеевича Медведева. ...
Added: March 9, 2023
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators
Grines E., Kazakov A., Sataev I., Chaos 2022 Vol. 32 Article 093105
We study chaotic dynamics in a system of four differential equations describing the interaction of five identical phase oscillators coupled via biharmonic function. We show that this system exhibits strange spiral attractors (Shilnikov attractors) with two zero (indistinguishable from zero in numerics) Lyapunov exponents in a wide region of the parameter space. We explain this ...
Added: February 8, 2023
Topological quantification of the "anemone" (branching) solar flares
Evgeny V. Zhuzhoma, Vladislav S. Medvedev, Dumin Y. et al., Physica D: Nonlinear Phenomena 2022 Vol. 436 Article 133320
The so-called ``anemone'' solar flares are an interesting type of the space plasma phenomena, where multiple null points of the magnetic field are connected with each other and with the magnetic sources by the separators, thereby producing the complex branching configurations. Here, using the methods of dynamical systems and Morse--Smale theory, we derive a few universal topological relations between the ...
Added: October 30, 2022
Regimes of ion dynamics in current sheets: The machine learning approach
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
НЕКОТОРЫЕ УСЛОВИЯ ИНТЕГРИРУЕМОСТИ ДИНАМИЧЕСКИХ СИСТЕМ В ТРАНСЦЕНДЕНТНЫХ ФУНКЦИЯХ
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
Понимание как преодоление неопределённости
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
Attractors of direct products
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
A modified variable structure control algorithm for stabilization of uncertain dynamical systems
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
Scenarios of hyperchaos occurrence in 4D Rössler system
Stankevich N., Kazakov A., Gonchenko S., Chaos 2020 Vol. 30 Article 123129
The generalized four-dimensional Rössler system is studied. Main bifurcation scenarios leading to a hyperchaos are described phenomenologically and their implementation in the model is demonstrated. In particular, we show that the formation of hyperchaotic invariant sets is related mainly to cascades (finite or infinite) of nondegenerate bifurcations of two types: period-doubling bifurcations of saddle cycles with a ...
Added: January 18, 2021
Asymptotics of the Number of Endpoints of a Random Walk on a Certain Class of Directed Metric Graphs
Chernyshev V. L., Tolchennikov A. A., Russian Journal of Mathematical Physics 2021 Vol. 28 No. 4 P. 434–438
A certain class of directed metric graphs is considered. Asymptotics for number of possible endpoints of a random walk at large times is found. ...
Added: December 31, 2020
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