DOI: 10.15673/tmgc.v1i10.549 (ukr)
Authors:
- Олександр Олегович Пришляк
- Андрій Анатолійович Прус
Abstract | Full Text: 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:
- поле Морса-Смейла
- потік Морса-Смейла
- тор з діркою
- топологічна класифікація