| Title:
|
Generic properties of the rotation number of one-parameter diffeomorphisms of the circle (English) |
| Author:
|
Brunovský, Pavol |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
24 |
| Issue:
|
1 |
| Year:
|
1974 |
| Pages:
|
74-90 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
58F20 |
| idZBL:
|
Zbl 0308.58007 |
| idMR:
|
MR0346845 |
| DOI:
|
10.21136/CMJ.1974.101218 |
| . |
| Date available:
|
2008-06-09T14:05:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101218 |
| . |
| Reference:
|
[1] B. И. Арнольд: Малые знаменатели I. Об орображениях окружности на себя.Известия, АН СССР 25 (1961) 21-86. Zbl 0275.60058, MR 0140699 |
| Reference:
|
[2] В. А. Плисе: Нелоклальные проблемы теории колебаний.Наука 1964. Zbl 1117.65300 |
| Reference:
|
[3] А. Аеррli L. Markus: Integral equivalence of vector fields on manifolds and bifurcation of differential systems.American Journal of Mathematics 85 (1963), 633-654. MR 0158138, 10.2307/2373112 |
| Reference:
|
[4] J. Moser: A rapidly convergent iteration method and nonlinear differential equations II.Annali de Scuola Normale Superiore di Pisa, Sci. Fis. Mat. 20 (1966) 499-535. MR 0206461 |
| Reference:
|
[5] Л. Э. Рейзинь: Топологическая классификациа динамических систем без точек покоя на торе.Латвийский математический ежегодник 5 (1969) 113 - 121. Zbl 1149.62317 |
| Reference:
|
[6] J. Sotomayor: Generic one-parameter families of vector fields on two-dimensional manifolds.pre-print. Zbl 0279.58008 |
| Reference:
|
[7] Ю. И. Неймарк: Метод точечных отображений в теории нелинейных колебаний.Труды межд. симп. по нелин. колебаниям, том 2, Издат. АН УССР, 1963. Zbl 1145.93303 |
| Reference:
|
[8] R. Sacker: On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations.NYU Report, IMM-NAU 333, October 1964. |
| Reference:
|
[9] P. Hartman: Ordinary differential equations.Wiley 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[10] P. Brunovský: On one-parameter families of diffeomorphisms, I, II.Comm. math. Univ. Carolinae, 11 (1970) 559-582, 12 (1971) 765-784. MR 0279827 |
| Reference:
|
[11] R. Abraham J. Robbin: Transversal mappings and flows.Benjamin 1967. MR 0240836 |
| Reference:
|
[12] R. Thom H. Levine: Singularities of differentiable mappings.Russian translation, Mir 1968. MR 0247632 |
| . |
