Energy function for rough cascades on surfaces with nontrivial one-dimensional basic sets
V. Z. Grines1, T. M. Mitryakova2, O. V. Pochinka3
| Annotation | In this paper we prove the existence of the energy function, that is, a smooth Lyapunov function, whose the set of critical points is the same as the nonwandering set of the system, for structurally stable orientation preserving diffeomorphisms of surfaces with nontrivial one-dimensional basic sets. |
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| Keywords | structurally stable system, a non-trivial basic set energy function |
1Professor of Chair of numerical and functional analysis, Lobachevskii State University, Nizhny Novgorod, vgrines@yandex.ru
2Assistant Professor of Chair of Theory of Functions, Lobachevsky State University, Nizhny Novgorod; tatiana.mitryakova@yandex.ru
3Associated Professor of Chair of Theory of Functions, Lobachevsky State University, Nizhny Novgorod, olga-pochinka@yandex.ru
Citation: V. Z. Grines, T. M. Mitryakova, O. V. Pochinka, "[Energy function for rough cascades on surfaces with nontrivial one-dimensional basic sets]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:4 (2013) 9–14 (In Russian)
