Generic properties of the rotation number of one-parameter diffeomorphisms of the circle

Pavol Brunovský

Czechoslovak Mathematical Journal (1974)

  • Volume: 24, Issue: 1, page 74-90
  • ISSN: 0011-4642

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Brunovský, Pavol. "Generic properties of the rotation number of one-parameter diffeomorphisms of the circle." Czechoslovak Mathematical Journal 24.1 (1974): 74-90. <http://eudml.org/doc/12769>.

@article{Brunovský1974,
author = {Brunovský, Pavol},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {74-90},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generic properties of the rotation number of one-parameter diffeomorphisms of the circle},
url = {http://eudml.org/doc/12769},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Brunovský, Pavol
TI - Generic properties of the rotation number of one-parameter diffeomorphisms of the circle
JO - Czechoslovak Mathematical Journal
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 1
SP - 74
EP - 90
LA - eng
UR - http://eudml.org/doc/12769
ER -

References

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  2. В. А. Плисе, Нелоклальные проблемы теории колебаний, Наука 1964. (1964) Zbl1117.65300
  3. А. Аеррli L. Markus, 10.2307/2373112, American Journal of Mathematics 85 (1963), 633-654. (1963) MR0158138DOI10.2307/2373112
  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. (1966) MR0206461
  5. Л. Э. Рейзинь, Топологическая классификациа динамических систем без точек покоя на торе, Латвийский математический ежегодник 5 (1969) 113 - 121. (1969) Zbl1149.62317
  6. J. Sotomayor, Generic one-parameter families of vector fields on two-dimensional manifolds, pre-print. Zbl0279.58008
  7. Ю. И. Неймарк, Метод точечных отображений в теории нелинейных колебаний, Труды межд. симп. по нелин. колебаниям, том 2, Издат. АН УССР, 1963. (1963) Zbl1145.93303
  8. R. Sacker, On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations, NYU Report, IMM-NAU 333, October 1964. (1964) 
  9. P. Hartman, Ordinary differential equations, Wiley 1964. (1964) Zbl0125.32102MR0171038
  10. P. Brunovský, On one-parameter families of diffeomorphisms, I, II, Comm. math. Univ. Carolinae, 11 (1970) 559-582, 12 (1971) 765-784. (1970) MR0279827
  11. R. Abraham J. Robbin, Transversal mappings and flows, Benjamin 1967. (1967) MR0240836
  12. R. Thom H. Levine, Singularities of differentiable mappings, Russian translation, Mir 1968. (1968) MR0247632

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