Topological Classification of Morse-Smale Diffeomorphisms Without Heteroclinic Intersections
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| 245 | 0 | 0 | |a Topological Classification of Morse-Smale Diffeomorphisms Without Heteroclinic Intersections |h [Elektronische Daten] |c [V. Grines, E. Gurevich, O. Pochinka] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Grines |D V. |u National Research University Higher School of Economics, Lobachevsky State University of Nizhny Novgorod, 23, Gagarina pr, 603950, Nizhny Novgorod, Russia |4 aut | |
| 700 | 1 | |a Gurevich |D E. |u National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia |4 aut | |
| 700 | 1 | |a Pochinka |D O. |u National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 81-90 |x 1072-3374 |q 208:1<81 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2425-2 |q text/html |z Onlinezugriff via DOI |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2425-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Grines |D V. |u National Research University Higher School of Economics, Lobachevsky State University of Nizhny Novgorod, 23, Gagarina pr, 603950, Nizhny Novgorod, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gurevich |D E. |u National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pochinka |D O. |u National Research University Higher School of Economics, 25/12, Bol'shaya Pechorskaya St, 603155, Nizhny Novgorod, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 81-90 |x 1072-3374 |q 208:1<81 |1 2015 |2 208 |o 10958 | ||