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Morse-Smale flows on the torus with a hole

  
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.

Original Text (This is the original text for your reference.)

Morse-Smale flows on the torus with a hole

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.

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,.Morse-Smale flows on the torus with a hole. 1 (10),.

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