Title:
|
On two-parametric systems of matrices and diffeomorphisms (English) |
Author:
|
Medveď, Milan |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
33 |
Issue:
|
2 |
Year:
|
1983 |
Pages:
|
176-192 |
. |
Category:
|
math |
. |
MSC:
|
58A35 |
MSC:
|
58F19 |
idZBL:
|
Zbl 0528.58030 |
idMR:
|
MR699019 |
DOI:
|
10.21136/CMJ.1983.101871 |
. |
Date available:
|
2008-06-09T14:53:52Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101871 |
. |
Reference:
|
[1] R. Abraham J. Robbin: Transversal Mappings on Flows.Benjamin, New York, 1967. MR 0240836 |
Reference:
|
[2] B. И. Арнольә: A матрицах зависящих от параметров.УМН 26 : 2 (1971), 101 - 114. Zbl 1170.92308, MR 0301242 |
Reference:
|
[3] В. И. Арнольә: Лекции о бифуркациях и версальных семействах.УМН 27:5 (1972), 119 до 184. Zbl 1170.01322, MR 0413191 |
Reference:
|
[4] В. И. Арнольә: Потеря устойчивости автоколебаний вблизи резонанса и версальные деформации эквивариантных векторных полей.Функц. анализ и приложения, 11 : 2 (1977), 1-10. Zbl 1170.01341 |
Reference:
|
[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. Zbl 1170.01332 |
Reference:
|
[6] Р. И. Богданов: Бифуркации предельного цикла одного семейства векторных полей на плоскости.Труды семинара им. Петровского 2 (1976), 23-35. Zbl 1170.01332 |
Reference:
|
[7] Р. Brunovský: On one-parameter families of diffeomorphisms.Comm. Math. Univ. Caroliпае 11 (1970), 559-582. MR 0279827 |
Reference:
|
[8] P. Brunovský: On one-parameter families of diffeomorphisms.Comm. Math. Univ. Carolinae 12 (1971), 765-784. MR 0309130 |
Reference:
|
[9] M. Golubitsky V. Guillemin: Stable mappings and their singularities.New York 1973. MR 0341518 |
Reference:
|
[10] M. Medved: Generic properties of parametrized vector fields I.Czechoslovak Math. J., 25 (1975), 376-388. MR 0391182 |
Reference:
|
[11] M. Medved: Generic properties of parametrized vector fields II.Czechoslovak Math. J. 26 (1976), 71-83. MR 0391183 |
Reference:
|
[12] Z. Nitecki: Differential Dynamics-An Introduction to the Orbit Structure of Diffeomorphisms.Russian translation, Mir, Moscow 1975. |
Reference:
|
[13] R. J. Sacker: On invariant surfaces and bifurcations of periodic solutions of ordinary differential equations.New York University, Report IMMNYU 333 (1964). MR 2615427 |
Reference:
|
[14] J. Sotomayor: Generic bifurcations of dynamical systems. Dynamical Systems.Proc. Symp. Univ. Bahia, Salvador 1973, 561-582. MR 0339280 |
Reference:
|
[15] H. Whitney: Elementary structure of real algebraic varieties.Annals of Mathematics 66 (1957), 545-556. Zbl 0078.13403, MR 0095844, 10.2307/1969908 |
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