On topological classification of Morse-Smale flows on surfaces by means of Lyapunov function
E. Ya. Gurevich1, E.D. Kurenkov.2
| Annotation | We introduce the definition of consistent equivalence of Meyer $\xi$-functions for Morse-Smale flows on surfaces (that are Lyapunov funсtions) and state that consistent equivalence of $\xi$-functions is necessary and sufficient condition for such flows. |
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| Keywords | structurally stable flows on surfaces, Morse-Smale flows, Lyapunov function, topological equivalence, topological classification |
1Associated Professor, National Research University Higher School of Economics, elena$_$gurevich@list.ru.
2Student, National Research University Higher School of Economics,eugene2402@mail.ru.
Citation: E. Ya. Gurevich, E.D. Kurenkov., "[On topological classification of Morse-Smale flows on surfaces by means of Lyapunov function]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:3 (2014) 36–40 (In Russian)
