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The Nonlinear Differential Dynamics of Interdependent Branches of Industry
P. 34–38.
Nonlinear differential dynamic model of the relation between the branches of production was proposed. Mathematically, this model is expressed as a system of first-order ODE. Dynamic variables of the model – the value of the output of each branch of production. Each differential equation of the system includes independent growth and diminution of finished goods; growth and decline of production related to the production of allied industries. Two models were proposed: a model with Malthusian products growth (model with no restrictions on the amount of product), the model with the Verhulst limiting of the growth of output. The equilibrium points of dynamical systems, system stability were determined as well as the qualitative analysis of dynamic systems was made.
In book
NY: Institute of Research engineers and Doctors, 2015.
Savinskaya O., Ойкумена. Регионоведческие исследования 2025 Т. 19 № 3 С. 63–72
An overview of the experience of using artificial intelligence for the analysis of qualitative data, and, in particular,
the development of sociological categories and concepts in qualitative research is presented coding the interview
with a woman who experienced pregnancy during her student years. Based on the logic of coding for subsequent
conceptualization of data, a systematization of tasks ...
Added: September 18, 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
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
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
Кикина И. В., Serkin V., Мир психологии. Научно-методический журнал 2024 № 1(116) С. 22–37
This article discusses the theoretical and philosophical, ethical, religious and psychological foundations of the agape love phenomenon and describes the results of a qualitative study of the worldview attitude and the agape love phenomenon in modern personalities. ...
Added: April 15, 2024
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
Слобода Н. М., Лычкина А. В., Абрамов В. О. et al., Вестник молодых ученых и специалистов Самарского университета 2020 Т. 2 № 17 С. 16–22
This article aims to analyze the work of B. Z. Doctorov's «Biographical interviews with fellow sociologists», to reveal the features of the professional generations of sociologists, identified earlier by the author. The article raises the problem of differences in the ways of coming of sociologists of different generations to science, the peculiarities of the topics ...
Added: April 23, 2023
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
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
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
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
Polikanova I., Yakushina A., Leonov S. et al., Sports 2022 Vol. 10 No. 8 Article 116
There is little research on the study of specific characteristics that contribute to the faster adaptation of athletes during the transition from one sport to another. We used virtual reality (VR) to study the differences between professional ice hockey players and other sport professionals (freestyle wrestlers), who were novices in hockey in terms of motor ...
Added: July 29, 2022
Dubrovsky D., Meyer I., Demokratizatsiya: The Journal of Post-Soviet Democratization 2022 Vol. 30 No. 1 P. 169–176
Drawing on a series of in-depth interviews with social scientists and university professors conducted in spring 2020, we explore how Russian social scientists assess and interpret academic freedom, with a particular focus on freedom of academic expression inside and outside universities. We find that while Russian social scientists generally agree about the state of academic ...
Added: February 18, 2022
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
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
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
Guglielmi N., Protasov V., SIAM Journal on Matrix Analysis and Applications 2018 Vol. 39 No. 4 P. 1642–1669
We consider the problem of computing the closest stable/unstable nonnegative matrix
to a given real matrix. The distance between matrices is measured in the Frobenius norm. The
problem is addressed for two types of stability: the Schur stability (the matrix is stable if its spectral
radius is smaller than one) and the Hurwitz stability (the matrix is stable ...
Added: October 30, 2019
Chepurenko A., Administrative Sciences 2019 Vol. 9 No. 2 P. 1–15
The paper seeks to introduce the definition and to specify the characteristic features of “non-routine entrepreneurs”. Using the notion of entrepreneurship by Shane and Venkataraman (2000), it explains “non-routine entrepreneurs” as persons driven primarily by the idea of exploring entrepreneurial opportunities, but less interested in being formally engaged in owing/managing a business or to claim ...
Added: May 19, 2019