A construction of realizations of perturbations of Poincaré maps

Milan Medveď

Mathematica Slovaca (1986)

  • Volume: 36, Issue: 2, page 179-190
  • ISSN: 0139-9918

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Medveď, Milan. "A construction of realizations of perturbations of Poincaré maps." Mathematica Slovaca 36.2 (1986): 179-190. <http://eudml.org/doc/31864>.

@article{Medveď1986,
author = {Medveď, Milan},
journal = {Mathematica Slovaca},
keywords = {generic bifurcations; smooth realizations of perturbations},
language = {eng},
number = {2},
pages = {179-190},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A construction of realizations of perturbations of Poincaré maps},
url = {http://eudml.org/doc/31864},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Medveď, Milan
TI - A construction of realizations of perturbations of Poincaré maps
JO - Mathematica Slovaca
PY - 1986
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 36
IS - 2
SP - 179
EP - 190
LA - eng
KW - generic bifurcations; smooth realizations of perturbations
UR - http://eudml.org/doc/31864
ER -

References

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  1. APHOЛЬД B. И., Oбыкнoвeнныe диффepeнциaльныe уpaвнeния, Hayкa, Mocквa 1971. (1971) 
  2. CRESPIN D. B., Realization of Poincaré maps, Pepriпt, 1981. (1981) 
  3. HAMILTON R. S., The inverse function theorem of Nash and Moser, Bull. AMS, 7, 1982, 65-222. (1982) Zbl0499.58003MR0656198
  4. IRWIN M. C., Smooth Dynamical Systems, Academic Press, London 1980. (1980) Zbl0465.58001MR0586942
  5. MEDVEĎ M., Generic properties of parametrized vector fields II, Czechosl. Math. J. 26 (101), 1976, 71-83. (1976) MR0391183
  6. MEDVEĎ M., Generic properties of second order ordinary differential equations near closed orbits, J. Differential Equations, 36, 1980, 97-107. (1980) MR0583342
  7. PALIS J., MELO W., Geometric Theory of Dynamical Systems, Springer-Veгlag, New Yoгk-Heidelberg-Berlin 1982. (1982) Zbl0491.58001MR0669541
  8. PALIS J., TAKENS F., Topological equivalence of normally hyperbolic dynamical systems, Topology, 16, 1977, 336-345. (1977) Zbl0391.58015MR0474409
  9. SCHWARTZ J. T., Nonlinear Functional Analysis, Gordon and Breach Science Publisher, New York-London-Paris 1969. (1969) Zbl0203.14501MR0433481
  10. SOTOMAYOR J., Generic one parameter families of vector fields in two-dimensional manifolds, Publ. Math. Inst. Heautes Études Scientifiques, 43, 1973, 1-46. (1973) 

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