Topology of Morse-Smale flows with singularities on the boundary of the two-dimensional disk

We analyze the topological properties of Morse-Smale flows on two-dimensional disk, which singularities lying on the boundary of the disc. We construct a complete topological invariant of the flow. The topological classification of the flows is obtained. The method of numbering flows is proposed.

Bibliographic Details
Main Authors: Mariia Losieva, Oleksandr Prishlyak
Format: Article
Language:English
Published: Odesa National University of Technology 2016-06-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http://journals.gsjp.eu/index.php/geometry/article/view/279