Title:
|
Generic bifurcations of second order ordinary differential equations on differentiable manifolds (English) |
Author:
|
Medveď, Milan |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
27 |
Issue:
|
1 |
Year:
|
1977 |
Pages:
|
9-24 |
. |
Category:
|
math |
. |
MSC:
|
34C40 |
MSC:
|
34D30 |
MSC:
|
37C75 |
MSC:
|
58C25 |
idZBL:
|
Zbl 0351.58007 |
idMR:
|
MR0492588 |
. |
Date available:
|
2009-09-25T08:46:33Z |
Last updated:
|
2012-07-31 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136133 |
. |
Reference:
|
[1] ABRAHAM R., ROBBIN J.: Transversal mappings and flows.1. ed. New York 1967 Zbl 0171.44404, MR 0240836 |
Reference:
|
[2] AHДPOHOB A. A., ЛEOHTOBИЧ E. A., ГOPДOH Й. Й, MAЙEP A. Г.: Teopия бифypкaции динaмичecкиx cиctеm нa плocкocти.Mocквa 1967. |
Reference:
|
[3] APHOЛЬД Б. И.: Лeкции o бифypкaцияx и вepcaльныx ceмeйcтвax.УMH 27, 5, 1972, 119-184. MR 0413191 |
Reference:
|
[4] BRUNOVSKÝ P.: On one-parameter families of diffeomorphisms II.Commentationnes mathematicae Universita Carolinae, 12, 1971, 765-784. MR 0309130 |
Reference:
|
[5] GOLUBITSKY M., GUILLEMIN V.: Stable mappings and their singularities.New York 1973. Zbl 0294.58004, MR 0341518 |
Reference:
|
[6] MEDVEĎ M.: Generic properties of parametrized vectorfields I.Czechoslovak Math. J., 25, 1975, 376-388. MR 0391182 |
Reference:
|
[7] MEDVEĎ M.: Generic properties of parametrized vectorfields II.Czechoslovak Math. J., 26, 1976, 71-83. MR 0391183 |
Reference:
|
[8] SHAHSHAHANI S.: Second order ordinary differential equations on differentiable manifolds.Global Analysis: Proc. Symp. Pure Math. 14, Amer. Math. Soc. Providence, Rhode Island 1970. Zbl 0212.29101, MR 0263115 |
Reference:
|
[9] SOTOMAYOR J.: Generic bifurcations of dynamical systems.Dynamical Systems, Proc. Symp. Univ. Bahia. Salvador 1973. Zbl 0296.58007, MR 0339280 |
Reference:
|
[10] THOM R., LEVINE H.: Singularities of differentiable mappings.Russian translation. Moscow 1968. MR 0247632 |
Reference:
|
[11] WHITNEY H.: Elementary structure of real algebraic varietes.Ann. Math., 66, 1957, 545-556. MR 0095844 |
. |