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Structural and Technological Stalemate in Eurozone: If This Is the Reality, What We Can Expect?
Ch. 2. P. 43–64.
Even six years after the acute phase of Great Recession 2007-2009, euro area economy does not show strong growth, which is indicating a severe structural and cyclical imbalances in the European economy. Empirical data evident that Euro area economy as the US, since 2009 are located in an unstable equilibrium that is prone to buckling under the influence of small internal or external price shocks. For the detection of the bifurcation process, i.e. transition to a state of metamorphosis, we have specially developed models of nonlinear dynamics, which describe five possible state of the economic system and, in particular, show that the Eurozone economy is entering a very important stage of bifurcation and the consequences of which are fundamental to determine the nature of the future economic development of both European and global economy.
In book
Springer, 2017.
Vassiliev V., , in: Handbook of Geometry and Topology of Singularities VII.: Springer, 2025.
Classification of real function singularity and topological properties of the spaces of their singular and non-singular perturbations are described ...
Added: October 31, 2025
Yu. Makhlin, Zorin A. B., Journal of Experimental and Theoretical Physics 2024 Vol. 166 No. 1(7) P. 98–109
We analyze properties of bifurcation quantum detectors based on weakly nonlinear superconducting resonance circuits, in particular, with application to quantum readout. The developed quantitative description demonstrates strong influence of higher harmonics on their characteristics. While this effect is relevant for various circuits, including the conventional Josephson bifurcation amplifier and the parametrically driven circuit, we first ...
Added: June 27, 2024
Lukianchenko P., Zotov G., Doklady Mathematics 2023 P. 0
Added: March 16, 2024
Krenke A., Sandlerskiy R., Baibar A. et al., Известия РАН. Серия биологическая 2023 № 7 С. 93–108
A brief review of the main models for emergence of boundaries and, in a particular case, integrity, arising from the theory of nonlinear volumetric systems. Based on the fundamental value of Kotelnikov’s reference and, accordingly, the general theory of awareness about identifying a characteristic border feature, as frequency of sampling functions in incidence along with ...
Added: December 9, 2023
Vladimir Chigarev, Alexey Kazakov, Arkady Pikovsky, Chaos 2023 Vol. 33 No. 6 Article 063113
We study the heterodimensional dynamics in a simple map on a three-dimensional torus. This map consists of a two-dimensional driving Anosov map and a one-dimensional driven Möbius map, and demonstrates the collision of a chaotic attractor with a chaotic repeller if param- eters are varied. We explore this collision by following tangent bifurcations of the ...
Added: August 30, 2023
Gonchenko A. S., Gonchenko S., Lobachevskii Journal of Mathematics 2021 Vol. 42 No. 14 P. 3352–3364
We give a short review on discrete homoclinic attractors. Such strange attractors contain only one saddle fixed point and, hence, entirely its unstable invariant manifold. We discuss the most important peculiarities of these attractors such as their geometric and homoclinic structures, phenomenological scenarios of their appearance, pseudohyperbolic properties etc. ...
Added: February 10, 2023
Pashin D., Bastrakova M., Arkady Satanin et al., Sensors 2022 Vol. 22 No. 17 Article 6580
We study bifurcation behavior of a high-quality (high-Q) Josephson oscillator coupled to a superconducting qubit. It is shown that the probability of capture into the state of dynamic equilibrium is sensitive to qubit states. On this basis we present a new measurement method for the superposition state of a qubit due to its influence on ...
Added: October 26, 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
http://www.shilnikov.unn.ru/en/news.html?id=20, 2020.
International Conference "ShilnikovWorkshop-2020" dedicated to the memory of the outstanding Russian mathematician Leonid Pavlovich Shilnikov (1934-2011) will be held on 17-18 December, 2020 at the Lobachevsky State University of Nizhny Novgorod. The topics of the Conference include but not restricted by the following themes of the theory of dynamical systems: bifurcations, strange attractors, conservative and ...
Added: November 1, 2021
Vadivel R., Srinivasan S., Wu Y. et al., Mathematical Methods in the Applied Sciences 2021 Vol. 1 No. 1 P. 1–18
The bifurcation, stability and stabilization analysis of permanent magnet synchronous motor (PMSM) systems are investigated in this paper. To begin, a new class of delay-dependent sufficient conditions is suggested with respect to the information of the membership function, a relevant Lyapunov-Krasovskii functional (LKF), and the overall information connected with the real sampling pattern, so that ...
Added: October 31, 2021
Nozdrinova E., Журнал Средневолжского математического общества 2020 Т. 22 № 3 С. 306–318
В статье рассматриваются поверхностные градиентно-подобные диффеоморфизмы. Замыкания инвариантных многообразий седловых точек таких систем содержат в своем замыкании узловые точки. В случае, когда такая точка одна, замыкание инвариантного многообразия является замкнутой кривой, гомеоморфной окружности. Сопрягающий гомеоморфизм в общем случае меняет гомотопический тип замкнутой кривой, при этом сами диффеоморфизмы могут остаться в одном изотопическом классе. Это означает, ...
Added: November 18, 2020
Goncharuk N. B., Ilyashenko Y., Солодовников Н. А., Moscow Mathematical Journal 2019 Vol. 19 No. 4 P. 709–737
We classify global bifurcations in generic one-parameter local families of vector elds on S2 with a parabolic cycle. The classi cation is quite dierent from the classical results presented in monographs on the bifurcation theory. As a by product we prove that generic families described above are structurally stable. ...
Added: October 23, 2020
Zakharov D., Dogonasheva O., Гуткин Б. С., , in: 2020 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR).: IEEE Xplore, 2020. P. 261–264.
Added: October 12, 2020
Beklaryan L. A., Beklaryan A., Computational Mathematics and Mathematical Physics 2020 Vol. 60 No. 8 P. 1249–1260
The importance of functional differential equations of pointwise type is determined by the fact that their solutions are used to construct traveling-wave solutions for induced infinite-dimensional ordinary differential equations, and vice versa. Solutions of such equations exhibit bifurcation. A theorem on branching bifurcation is obtained for the solution to a linear homogeneous functional differential equation of pointwise type. ...
Added: September 21, 2020
Kulagin N., Lerman L., Malkin A., Communications in Nonlinear Science and Numerical Simulation 2021 Vol. 93 Article 105525
Solitons and cavitons (the latter are localized solutions with singularities) for the nonlocal Whitham equations are studied. The fourth order differential equation for traveling waves with a parameter in front of the fourth derivative is reduced to a reversible Hamiltonian system defined on a two-sheeted four-dimensional space. Solutions of the system which stay on one ...
Added: September 16, 2020
Бекларян Л. А., Beklaryan A., Журнал вычислительной математики и математической физики 2020 Т. 60 № 8 С. 1291–1303
The importance of functional differential equations of pointwise type is determined by the fact that their solutions are used to construct traveling-wave solutions for induced infinite-dimensional ordinary differential equations, and vice versa. Solutions of such equations exhibit bifurcation. A theorem on branching bifurcation is obtained for the solution to a linear homogeneous functional differential equation ...
Added: August 25, 2020
Knyazeva H., В кн.: Мир человека: неопределенность как вызов.: М.: ЛЕНАНД, 2019. Гл. 9 С. 111–124.
The article substantiates that uncertainties, instabilities, and fluctuations accompanying the development processes in the modern world not only create difficulties for us, but also form a basis for our individual and collective creativity. The future is open and not given to us in advance, and it is in the power of a man to make ...
Added: November 21, 2018
Obodan N., Gromov V., Strength of Materials 2017 Vol. 49 No. 2 P. 335–342
The vulnerability assessment of thin-walled shells under pulse action is treated as an inverse problem of the bifurcation theory using the phenomenon of growth and saturation of the displacement level during the pre-bifurcation period. Using the computational time series, the authors perform the neural network-based prediction of a thin-walled shell behavior within a time shorter ...
Added: October 4, 2018
Shalimova E., Burov A. A., Technische Mechanik 2017 Vol. 37 No. 2-5 P. 129–138
Dynamics of a massive point on a rotating wire or surface under dry friction force action is considered. Existence, stability and bifurcations of non-isolated relative equilibria sets of the point located - on a sphere uniformly rotating about an inclined fixed axis; - on a thin circular hoop rotating about an inclined fixed axis; - ...
Added: December 7, 2017
Ichkitidze Y., , in: Industry 4.0: Entrepreneurship and Structural Change in the New Digital Landscape.: Springer, 2017. Ch. 6 P. 137–153.
In this paper, we suggest an approach to the study of the financial instability based on the model of evolutionary processes. In the first place, we present some empirical facts that confirm that the stock’s price dynamics is better described by the Markov switching model rather than by the pure random walk. Further, using the ...
Added: April 11, 2017