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Title: A construction of realizations of perturbations of Poincaré maps (English)
Author: Medveď, Milan
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 36
Issue: 2
Year: 1986
Pages: 179-190
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Category: math
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MSC: 37G99
MSC: 37J40
idZBL: Zbl 0604.58037
idMR: MR849709
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Date available: 2009-09-25T09:53:40Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129601
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Reference: [1] APHOЛЬД B. И.: Oбыкнoвeнныe диффepeнциaльныe уpaвнeния.Hayкa, Mocквa 1971.
Reference: [2] CRESPIN D. B.: Realization of Poincaré maps.Pepriпt, 1981.
Reference: [3] HAMILTON R. S.: The inverse function theorem of Nash and Moser.Bull. AMS, 7, 1982, 65-222. Zbl 0499.58003, MR 0656198
Reference: [4] IRWIN M. C.: Smooth Dynamical Systems.Academic Press, London 1980. Zbl 0465.58001, MR 0586942
Reference: [5] MEDVEĎ M.: Generic properties of parametrized vector fields II.Czechosl. Math. J. 26 (101), 1976, 71-83. MR 0391183
Reference: [6] MEDVEĎ M.: Generic properties of second order ordinary differential equations near closed orbits.J. Differential Equations, 36, 1980, 97-107. MR 0583342
Reference: [7] PALIS J., MELO W.: Geometric Theory of Dynamical Systems.Springer-Veгlag, New Yoгk-Heidelberg-Berlin 1982. Zbl 0491.58001, MR 0669541
Reference: [8] PALIS J., TAKENS F.: Topological equivalence of normally hyperbolic dynamical systems.Topology, 16, 1977, 336-345. Zbl 0391.58015, MR 0474409
Reference: [9] SCHWARTZ J. T.: Nonlinear Functional Analysis.Gordon and Breach Science Publisher, New York-London-Paris 1969. Zbl 0203.14501, MR 0433481
Reference: [10] SOTOMAYOR J.: Generic one parameter families of vector fields in two-dimensional manifolds.Publ. Math. Inst. Heautes Études Scientifiques, 43, 1973, 1-46.
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