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Circular Fleitas scheme for gradient-like flows on the surface
Regular and Chaotic Dynamics. 2023. Vol. 28. No. 6. P. 865–877.
In this paper, a classification of gradient-like flows on arbitrary surfaces is obtained by generalizing the circular scheme of Fleitas. In 1975, he proved that such a scheme is a complete invariant of topological equivalence for polar flows on 2- and 3-manifolds. In this paper, we generalize the concept of a circular scheme to arbitrary gradient-like flows on surfaces. We prove that the isomorphism class of such schemes is a complete invariant of topological equivalence. The paper also exhaustively solves the question of the feasibility of an abstract circular scheme with a gradient-like flow on the surface. In addition, an efficient algorithm for distinguishing the isomorphism of circular schemes is constructed.
Keywords: gradient-like flowsградиентно-подобные потокиtopological equivalence invariantтопологический инвариант эквивалентности
Publication based on the results of:
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L -shapes, optimal in diameter, as network-on-chip topologies with a minimal number of crossings
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size. New network-on-chip routing algorithms, which use the coordinates of three adjacent zeros in
the ...
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Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
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Irkutsk: ISDCT SB RAS, 2026.
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are validated numerically. ...
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«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
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МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
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This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
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Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
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German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
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intersections, dened on closed manifolds of dimension four. We show that for
such ows, the problem of complete topological classication can be reduced to
the combinatorial problem of distinguishing special framed graphs describing
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S.~Smale has shown that any closed smooth manifold admits a gradient-like flow, which is a structurally stable flow with a finite non-wandering set. Polar flows are a specific type of gradient-like flows characterized by the simplest non-wandering set for the given manifold, consisting of exactly one source, one sink, and a finite number of saddle ...
Added: November 21, 2024
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Grines V., Gurevich E., Максименко С. И., Working papers by Cornell University. Series math "arxiv.org" 2021
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Grines V., Zhuzhoma E. V., Medvedev V. et al., Siberian Advances in Mathematics 2018 Т. 21 № 2 С. 163–180
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Added: May 27, 2018