caa a22 4500 605525080 CHVBK 20210128100757.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10958-015-2425-2 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2425-2 Topological Classification of Morse-Smale Diffeomorphisms Without Heteroclinic Intersections [Elektronische Daten] [V. Grines, E. Gurevich, O. Pochinka] We study the class G(M n ) of orientation-preserving Morse-Smale diffeomorfisms on a connected closed smooth manifold M n of dimension n ≥ 4 which is defined by the following condition: for any f ∊ G(M n ) the invariant manifolds of saddle periodic points have dimension 1 and (n − 1) and contain no heteroclinic intersections. For diffeomorfisms in G(M n ) we establish the topoligical type of the supporting manifold which is determined by the relation between the numbers of saddle and node periodic orbits and obtain necessary and sufficient conditions for topological conjugacy. Bibliography: 14 titles. Springer Science+Business Media New York, 2015 Grines V. National Research University Higher School of Economics, Lobachevsky State University of Nizhny Novgorod, 23, Gagarina pr, 603950, Nizhny Novgorod, Russia aut Gurevich E. National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia aut Pochinka O. National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/1(2015-06-01), 81-90 1072-3374 208:1<81 2015 208 10958 https://doi.org/10.1007/s10958-015-2425-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2425-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grines V. National Research University Higher School of Economics, Lobachevsky State University of Nizhny Novgorod, 23, Gagarina pr, 603950, Nizhny Novgorod, Russia aut NATIONALLICENCE 700 1- Gurevich E. National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia aut NATIONALLICENCE 700 1- Pochinka O. National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/1(2015-06-01), 81-90 1072-3374 208:1<81 2015 208 10958