Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Morse-Smale flows on the torus with a hole

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Published Aug 13, 2017
DOI https://doi.org/10.15673/tmgc.v1i10.549

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Олександр Олегович Пришляк
Taras Shevchenko National University of Kyiv
http://orcid.org/0000-0002-7164-807X
Андрій Анатолійович Прус
Taras Shevchenko National University of Kyiv

Abstract

In this work we consider Morse-Smale flows on torus with hole whose singularities lie on the boundary of this surface. A complete topological invariant for such flows is constructed and total number of topologically non-equivalent flows on this surface with 4, 6 and 8 singular points is calculated. We also obtain a topological classification of these flows and describe their topological structure.
Keywords:
Morse-Smale vector field, Morse-Smale flow, torus with a hole, topological classification

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How to Cite
Пришляк, О., & Прус, А. (2017). Morse-Smale flows on the torus with a hole. Proceedings of the International Geometry Center, 10(1). https://doi.org/10.15673/tmgc.v1i10.549
Issue
Vol 10 No 1 (2017)
Section
Papers

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Author Biographies

Олександр Олегович Пришляк, Taras Shevchenko National University of Kyiv

Professor, Department of geometry, topology and dynamical systems

Андрій Анатолійович Прус, Taras Shevchenko National University of Kyiv

Department of geometry, topology and dynamical systems

References

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