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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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