Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Vladislav E. Kruglov"'
Publikováno v:
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva. 24:40-53
In the paper, non-singular flows with two limit cycles on the manifold S2×S1 are considered. For such flows, a classification is obtained up to topological conjugacy, and it is shown that they have a functional modulus of stability. Since the functi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42c4c70faba85dbbfdc31ca44e5b2506
https://doi.org/10.15507/2079-6900.24.202201.40-53
https://doi.org/10.15507/2079-6900.24.202201.40-53
Autor:
Olga V. Pochinka, Vladislav E. Kruglov
Publikováno v:
Известия высших учебных заведений: Прикладная нелинейная динамика, Vol 29, Iss 6, Pp 835-850 (2021)
Purpose. The purpose of this study is to consider the class of Morse – Smale flows on surfaces, to characterize its subclass consisting of flows with a finite number of moduli of stability, and to obtain a topological classification of such flows u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0daf66fd080912239cfcaa496268c29
https://doi.org/10.18500/0869-6632-2021-29-6-835-850
https://doi.org/10.18500/0869-6632-2021-29-6-835-850
Publikováno v:
Regular and Chaotic Dynamics. 25:716-728
In this paper, we study gradient-like flows without heteroclinic intersections on an $$n$$ -sphere up to topological conjugacy. We prove that such a flow is completely defined by a bicolor tree corresponding to a skeleton formed by codimension one se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9915e62b63f3f5ef556f59d42c92e225
https://doi.org/10.1134/s1560354720060143
https://doi.org/10.1134/s1560354720060143
Autor:
Vladislav E. Kruglov, Olga V. Pochinka
Publikováno v:
Journal of Mathematical Sciences. 250:22-30
We study gradient-like flows with no heteroclinic intersections on an n-dimensional (n ≥ 3) sphere from the point of view of topological conjugacy. We prove that the topological conjugacy class of such a flow is completely determined by the bicolor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb2183642215e0b7cf6e853ede2cc38c
https://doi.org/10.1007/s10958-020-04993-w
https://doi.org/10.1007/s10958-020-04993-w
Publikováno v:
Pracì Mìžnarodnogo Geometričnogo Centru, Vol 13, Iss 1, Pp 49-60 (2020)
Currently, an complete topological classification has been obtained with respect to the topological equivalence of Morse-Smale flows, [9, 7], as well as their generalizations of Ω-stable flows on closed surfaces, [4]. Some results on topological con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8068abf4386e9657d2227508dccfc2b
https://journals.onaft.edu.ua/index.php/geometry/article/view/1714
https://journals.onaft.edu.ua/index.php/geometry/article/view/1714
Publikováno v:
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva. 21:460-468
The paper is devoted to the study of the class of Ω-stable flows without limit cycles on surfaces, i.e. flows on surfaces with non-wandering set consisting of a finite number of hyperbolic fixed points. This class is a generalization of the class of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dafe899224de98d537ebc137cb9f871d
https://doi.org/10.15507/2079-6900.21.201904.460-468
https://doi.org/10.15507/2079-6900.21.201904.460-468
Publikováno v:
Arnold Mathematical Journal. 4:483-504
In the present paper we survey existing graph invariants for gradient-like flows on surfaces up to the topological equivalence and develop effective algorithms for their distinction (let us recall that a flow given on a surface is called a gradient-l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee322ed2699f4610bd4a6adf9a8b0a25
https://doi.org/10.1007/s40598-019-00103-0
https://doi.org/10.1007/s40598-019-00103-0
Publikováno v:
Sbornik: Mathematics. 209:96-121
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fbabcaec6d0d3e20b655e8b335fa790
https://doi.org/10.1070/sm8797
https://doi.org/10.1070/sm8797
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:4305-4327
Structurally stable (rough) flows on surfaces have only finitely many singularities and finitely many closed orbits, all of which are hyperbolic, and they have no trajectories joining saddle points. The violation of the last property leads to \begin{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f911ed7106da76289cf6d827e622699
https://doi.org/10.3934/dcds.2018188
https://doi.org/10.3934/dcds.2018188