|
|
Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2014, Volume 16, Number 3, Pages 36–40
(Mi svmo491)
|
|
|
|
In Middle Volga Mathematical Society
On topological classification of Morse-Smale flows on surfaces by means of Lyapunov function
E. Ya. Gurevich, E. D. Kurenkov
National Research University "Higher School of Economics", Nizhny Novgorod Branch
Abstract:
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.
Keywords:
structurally stable flows on surfaces, Morse-Smale flows, Lyapunov function, topological equivalence, topological classification.
Received: 27.12.2014
Linking options:
https://www.mathnet.ru/eng/svmo491
|
| Statistics & downloads: |
| Abstract page: | 66 | | References: | 32 |
|
Contact us: