Multicolored graph as a complete topological invariant for the flow with a finite number of singular trajectories on surfaces
V. E. Kruglov1, O. V. Pochinka2
| Annotation | In this paper we consider the continuous dynamic systems on surfaces. For a meaningful class of flows with finitely many singular trajectories we introduce the concept of multi-color graph and proved that the class of topological equivalence of such a flow is completely determined by the isomorphism class of its multi-colored graph. |
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| Keywords | multicolored graph, flow, topological equivalence |
1Student, Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod
2Professor of the Department fundamental mathematics, High School Economy, Nizhny Novgorod
Citation: V. E. Kruglov, O. V. Pochinka, "[Multicolored graph as a complete topological invariant for the flow with a finite number of singular trajectories on surfaces]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 65–70 (In Russian)
