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Medveď, Milan

Generic bifurcations of second order ordinary differential equations on differentiable manifolds. (English) Zbl 0351.58007

Math. Slovaca 27, 9-24 (1977).
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MSC:

37C75 Stability theory for smooth dynamical systems
34C40 Ordinary differential equations and systems on manifolds
34D30 Structural stability and analogous concepts of solutions to ordinary differential equations
58C25 Differentiable maps on manifolds
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\textit{M. Medveď}, Math. Slovaca 27, 9--24 (1977; Zbl 0351.58007)
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References:

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[2] АНДРОНОВ А. А., ЛЄОНТОВИЧ Є. А., ГОРДОН Й. Й, МАЙЄР А. Г.: Тєория бифуркации динамичєских систем на плоскости. Москва 1967.
[3] АРНОЛЬД Б. И.: Лєкции о бифуркациях и вєрсальных сємєйствах. YMH 27, 5, 1972, 119-184.
[4] BRUNOVSKÝ P.: On one-parameter families of diffeomorphisms II. Commentationnes mathematicae Universita Carolinae, 12, 1971, 765-784.
[5] GOLUBITSKY M., GUILLEMIN V.: Stable mappings and their singularities. New York 1973. · Zbl 0294.58004
[6] MEDVEĎ M.: Generic properties of parametrized vectorfields I. Czechoslovak Math. J., 25, 1975, 376-388. · Zbl 0328.58013
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[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
[9] SOTOMAYOR J.: Generic bifurcations of dynamical systems. Dynamical Systems, Proc. Symp. Univ. Bahia. Salvador 1973. · Zbl 0296.58007
[10] THOM R., LEVINE H.: Singularities of differentiable mappings. Russian translation. Moscow 1968.
[11] WHITNEY H.: Elementary structure of real algebraic varietes. Ann. Math., 66, 1957, 545-556. · Zbl 0078.13403
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