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Взаимодействие резонансов и глобальный хаос в динамике ротатора, возбуждаемого бинарной последовательностью импульсов
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Flamarion M. V., Pelinovsky E., Nonlinear Dynamics 2026 Vol. 114 Article 784
In this article, we investigate wave packet and solitary wave dynamics in the Whitham–Ostrovsky (WO) equation. By means of a multiple-scales expansion, we formally derive a nonlinear Schrödinger (NLS) equation governing the envelope evolution.The corresponding modulational stability diagram is then obtained using the Lighthill criterion. We show that sufficiently large values of the low-frequency dispersive term render ...
Added: June 5, 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
Кедров А. А., С.А. Щербинин, Известия высших учебных заведений. Прикладная нелинейная динамика 2025 Т. 31 № 1
Цель настоящей работы — исследовать устойчивость периодического режима, соответствую щего моде с наименьшей длиной волны (так называемой-моде) в цепочке Тоды с кубическим возмущением в потенциале межчастичного взаимодействия. Методы. Исследование устойчивости проводилось на основе стандартного метода Флоке. Возникающая при этом вариационная система расщепляется на независимые двумерные подсистемы, что позволяет делать выводы об устойчивости-моды для цепочки из ...
Added: November 27, 2025
Екомасов Е. Г., Нерадовский Д. Ф., Фахретдинов М. И. et al., Челябинский физико-математический журнал 2025 Т. 10 № 2 С. 227–235
The effect of the thickness of a non-magnetic layer and the magnitude of the spin-polarized current on the coupled dynamics of two magnetic vortices in a spin-transfer nanoscillator is investigated. A spin-transfer nanoscillator in the form of a three–layer conductive cylinder with a diameter of 200 nm is considered. The features of the dynamics of ...
Added: September 28, 2025
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
Yatskin D., 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
Alexeeva T., Кузнецов Н. В., Мокаев Т. Н. et al., Дифференциальные уравнения и процессы управления 2023 № 4 С. 53–66
The accuracy of forecasting the expected values of economic indicators under conditions of irregular dynamics has a key role in taking optimal management decision-making. This current and complex task can be effectively solved using modern methods based on artificial intelligence, the wide introduction of which into the economy is aimed at by the Federal project "Artificial ...
Added: January 7, 2024
T. A. Alexeeva, Kuznetsov N. V., Lobachev M. et al., IFAC-PapersOnLine 2022 Vol. 55 No. 40 P. 157–162
One of the central tasks of macroeconomic analysis is forecasting and control of economic agents’ expectations for key macroeconomic indicators such as inflation, gross domestic product (GDP), prices and others, etc., so that to achieve maximum level of their welfare through monetary and fiscal policy. This problem is solved within the framework of the optimal ...
Added: April 8, 2023
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
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
Alexeeva T., Kuznetsov N., Mokaev T. et al., IFAC-PapersOnLine 2021 Vol. 54 No. 17 P. 26–31
Irregular fluctuations in economy lead to unpredictable effects and disrupt its stable functioning. Various tools could be used to stabilize irregular dynamics in economic models. For example, to introduce control into the model as an external function, as well as to take into account the internal characteristics of economic agents in the economy under consideration, ...
Added: February 5, 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
Alexeeva T.A., Kuznetsov N. V., Mokaev T. N. et al., Journal of Physics: Conference Series 2021 Vol. 1864 Article 012040
Dynamics of the New Keynesian model in continuous time with the Rotemberg pricing mechanism is considered within a framework of an optimal control problem. Various regimes of monetary and fiscal policy ('active' and 'passive') can lead to unstable dynamics in the economy. Parameters of the Taylor rules for both monetary and fiscal policies determine conditions ...
Added: June 3, 2021
Екомасов Е. Г., Степанов С. В., Звездин К. А. et al., Физика металлов и металловедение 2021 Т. 122 № 3 С. 212–220
Исследована структура и динамика намагниченности в вихревом спин-трансферном наноосцилляторе, который представляет собой трехслойный спин-вентильный магнитный наностолбик большого диаметра – 400 нм, при протекании через него спин-поляризованного тока. С помощью микромагнитного моделирования было исследовано динамическое изменение структуры вихрей, траектории их движения в зависимости от величины спин-поляризованного тока. Показана возможность существования различных режимов движения вихрей: затухающие осцилляции ...
Added: April 20, 2021
Alexeeva T., Barnett W., Kuznetsov N. et al., IFAC-PapersOnLine 2020 Vol. 53 No. 2 P. 16971–16976
Control and stabilization of irregular and unstable behavior of dynamic systems (including chaotic processes) are interdisciplinary problems of interest to a variety of scientific fields and applications. Using the control methods allows improvements in forecasting the dynamics of unstable economic processes and offers opportunities for governments, central banks, and other policy makers to modify the ...
Added: April 17, 2021
Knyazeva H., Foresight and STI Governance 2020 Vol. 14 No. 4 P. 6–8
The introductory article to the special issue “The Strategic Management in the Context of Dynamic Complexity” substantiates that models and representations of the theory of complex systems are becoming the most relevant science-based background, which allows us to respond to the challenges of our time. The increasing complexity of social and economic development processes, accompanied ...
Added: December 25, 2020
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