| Title:
|
Об одном аналоге теоремы Данжуа для гладких преобразований окружности с критическими точками перегиба (Russian) |
| Title:
|
An analogue of Denjoy's theorem for smooth transformations of the circle with critical points of inflexion (English) |
| Author:
|
Aranson, S. Kh. |
| Language:
|
Russian |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1985 |
| Pages:
|
111-121 |
| . |
| Category:
|
math |
| . |
| MSC:
|
57R70 |
| MSC:
|
58C06 |
| idZBL:
|
Zbl 0577.58001 |
| idMR:
|
MR795004 |
| . |
| Date available:
|
2009-09-25T09:44:07Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136381 |
| . |
| Reference:
|
[1] AHOCOB Д. B.: Гeoдeзичecкиe пoтoки нa зaмкнyтыx pимaнoвыx мнoгooбpaзияx oтpлцaтeльнoй кpивизны.Tpyды Maтeм. ин-тa им. B. A. Cтeклoвa, 90, 1967. |
| Reference:
|
[2] APAHCOH, C X.: Oб oтcyтcтвии нeзaмкнyтыx ycтoйчивыx пo Пyaccoнy пoлyтpaeктopий и тpaeктopий, двoякoacимптoтичecкиx к двoйнoмy пpeдeльнoмy циклy, y динaмичecкиx cиcтeм пеpвoй cтeпeни нeгpyбocти нa opиeнтиpyeмыx двyмepныx мнoгooбpaзияx.Maтeм. cб. 76 (118), №22, 1968, 214-230. |
| Reference:
|
[3] MAЙEP A. Г.: O тpaeктopияx нa opиeнтиpyeмыx пoвepxнocтяx.Maтeм. cб. 12 (54), 1943, 71-84. |
| Reference:
|
[4] MAЙEP A. Г.: Гpyбыe пpeoбpaзoвaния oкpyжнocти в oкpyжнocть.Учeныe зaпиcки ГГУ, 12, 1939, 215-229. |
| Reference:
|
[5] BLOCK L., FRANKE J.: Existence of periodic points for maps of S1.Invent. math. v. 22, № 1, 1973, 69-73. MR 0358867 |
| Reference:
|
[6] CHERRY T. M.: Analytic quasiperiodic cuгves of discontinuous type on a torus.proc. Lond. Math. Soc. Ser. 2, 44, 1937, 175-215. MR 1575952 |
| Reference:
|
[7] DENJOY A.: Sur les courbes paг les equations differentielles a la surface du tore.J. Math. Puгes Appl. 11 (9), 1932, 333-375. |
| Reference:
|
[8] DULAC H.: Sur les cycles limites.Bull. de la Soc. Math. de France, 51, 1923. |
| Reference:
|
[9] HALL G. R.: A C''-Denjoi counterexample.Ergod. Th. and Dynam. Sys., I, 1981, 261-272. MR 0662469 |
| Reference:
|
[10] POINСARE H.: Metoire sur les courbes definie par equation differentielle, III.J. Math. Pures Appl., 1 (4), 1885, 167-244. |
| Reference:
|
[11] SСHWARTZ A. J.: A generatization of a Poincare-Bendixon theorem to closed two-dimensional manifolds.Amer. J. Math. 85, 1963, 453-458. |
| . |
