On two-parametric systems of matrices and diffeomorphisms

Milan Medveď

Czechoslovak Mathematical Journal (1983)

  • Volume: 33, Issue: 2, page 176-192
  • ISSN: 0011-4642

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Medveď, Milan. "On two-parametric systems of matrices and diffeomorphisms." Czechoslovak Mathematical Journal 33.2 (1983): 176-192. <http://eudml.org/doc/13376>.

@article{Medveď1983,
author = {Medveď, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kupka-Smale theorem; Whitney topology; eigenvalues on the unit circle; topological structure of trajectories; residual subsets},
language = {eng},
number = {2},
pages = {176-192},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On two-parametric systems of matrices and diffeomorphisms},
url = {http://eudml.org/doc/13376},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Medveď, Milan
TI - On two-parametric systems of matrices and diffeomorphisms
JO - Czechoslovak Mathematical Journal
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 2
SP - 176
EP - 192
LA - eng
KW - Kupka-Smale theorem; Whitney topology; eigenvalues on the unit circle; topological structure of trajectories; residual subsets
UR - http://eudml.org/doc/13376
ER -

References

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  1. R. Abraham J. Robbin, Transversal Mappings on Flows, Benjamin, New York, 1967. (1967) MR0240836
  2. B. И. Арнольә, A матрицах зависящих от параметров, УМН 26 : 2 (1971), 101 - 114. (1971) Zbl1170.92308MR0301242
  3. В. И. Арнольә, Лекции о бифуркациях и версальных семействах, УМН 27:5 (1972), 119 до 184. (1972) Zbl1170.01322MR0413191
  4. В. И. Арнольә, Потеря устойчивости автоколебаний вблизи резонанса и версальные деформации эквивариантных векторных полей, Функц. анализ и приложения, 11 : 2 (1977), 1-10. (1977) Zbl1170.01341
  5. Р. И. Богданов, Верцальная деформация особой точки векторного поля на плоскости в случае нулевых собственных чисел, Труды семинара им. И. Г. Петровсого, 2 (1976), 37-65. (1976) Zbl1170.01332
  6. Р. И. Богданов, Бифуркации предельного цикла одного семейства векторных полей на плоскости, Труды семинара им. Петровского 2 (1976), 23-35. (1976) Zbl1170.01332
  7. Р. Brunovský, On one-parameter families of diffeomorphisms, Comm. Math. Univ. Caroliпае 11 (1970), 559-582. (1970) MR0279827
  8. P. Brunovský, On one-parameter families of diffeomorphisms, Comm. Math. Univ. Carolinae 12 (1971), 765-784. (1971) MR0309130
  9. M. Golubitsky V. Guillemin, Stable mappings and their singularities, New York 1973. (1973) MR0341518
  10. M. Medved, Generic properties of parametrized vector fields I, Czechoslovak Math. J., 25 (1975), 376-388. (1975) MR0391182
  11. M. Medved, Generic properties of parametrized vector fields II, Czechoslovak Math. J. 26 (1976), 71-83. (1976) MR0391183
  12. Z. Nitecki, Differential Dynamics-An Introduction to the Orbit Structure of Diffeomorphisms, Russian translation, Mir, Moscow 1975. (1975) 
  13. R. J. Sacker, On invariant surfaces and bifurcations of periodic solutions of ordinary differential equations, New York University, Report IMMNYU 333 (1964). (1964) MR2615427
  14. J. Sotomayor, Generic bifurcations of dynamical systems. Dynamical Systems, Proc. Symp. Univ. Bahia, Salvador 1973, 561-582. (1973) MR0339280
  15. H. Whitney, 10.2307/1969908, Annals of Mathematics 66 (1957), 545-556. (1957) Zbl0078.13403MR0095844DOI10.2307/1969908

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