| 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 | 
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| Category: | math | 
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| MSC: | 34C40 | 
| MSC: | 34D30 | 
| MSC: | 37C75 | 
| MSC: | 58C25 | 
| idZBL: | Zbl 0351.58007 | 
| idMR: | MR0492588 | 
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| Date available: | 2009-09-25T08:46:33Z | 
| Last updated: | 2012-07-31 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/136133 | 
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| 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 | 
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