Elena Nozdrinova

Publications:

Galkin V. D., Nozdrinova E. V., Pochinka O. V.
Abstract
In this paper, we obtain a classification of gradient-like flows on arbitrary surfaces by generalizing the circular Fleitas scheme. In 1975 he proved that such a scheme is a complete invariant of topological equivalence for polar flows on 2- and 3-manifolds. In this paper, we generalize the concept of a circular scheme to arbitrary gradient-like flows on surfaces.We prove that the isomorphism class of such schemes is a complete invariant of topological equivalence. We also solve exhaustively the realization problem by describing an abstract circular scheme and the process of realizing a gradient-like flow on the surface. In addition, we construct an efficient algorithm for distinguishing the isomorphism of circular schemes.
Keywords: gradient-like flows, circular scheme, flows on the surface
Citation: Galkin V. D., Nozdrinova E. V., Pochinka O. V.,  Circular Fleitas Scheme for Gradient-Like Flows on the Surface, Regular and Chaotic Dynamics, 2023, vol. 28, no. 6, pp. 865-877
DOI:10.1134/S1560354723060047

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