Singularities of vector fields

Floris Takens

Publications Mathématiques de l'IHÉS (1974)

  • Volume: 43, page 47-100
  • ISSN: 0073-8301

How to cite

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Takens, Floris. "Singularities of vector fields." Publications Mathématiques de l'IHÉS 43 (1974): 47-100. <http://eudml.org/doc/103931>.

@article{Takens1974,
author = {Takens, Floris},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {47-100},
publisher = {Institut des Hautes Études Scientifiques},
title = {Singularities of vector fields},
url = {http://eudml.org/doc/103931},
volume = {43},
year = {1974},
}

TY - JOUR
AU - Takens, Floris
TI - Singularities of vector fields
JO - Publications Mathématiques de l'IHÉS
PY - 1974
PB - Institut des Hautes Études Scientifiques
VL - 43
SP - 47
EP - 100
LA - eng
UR - http://eudml.org/doc/103931
ER -

References

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  7. [7] M. HIRSCH and C. C. PUGH, Stable manifolds and hyperbolic sets, in Proceedings of the A.M.S. Summer Institute on Global Analysis, Berkeley, Univ. Press, 1967. Zbl0215.53001
  8. [8] A. KELLEY, The stable, center-stable, center, center-unstable and unstable manifolds. Published as appendix C in R. ABRAHAM and J. ROBBIN, Transversal mappings and flows, New York, Benjamin, 1967. Zbl0173.11001MR36 #4096
  9. [9] H. I. LEVINE, Singularities of Differentiable Mappings, Notes of Lectures of R. Thom in Bonn (1960). Appeared in Proceedings of Liverpool Singularities, Symposium I, Lecture Notes in Math., 192, Berlin, Springer Verlag, 1971. 
  10. [10] B. MALGRANGE, Le théorème de préparation en géométrie différentiable (in Séminaire H. Cartan, 1962-1963), Paris (5e), 1964. Zbl0119.28501
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  13. [13] M. M. PEIXOTO, Teoria Geometrica dos Equaçoes diferenciais, Rio de Janeiro, I.M.P.A., 1969. 
  14. [14] C. C. PUGH and M. SHUB, Linearization of Normally Hyperbolic Diffeomorphisms and Flows, Inv. Math., 10 (1970), 187-198. Zbl0206.25802MR44 #1055
  15. [15] A. SEIDENBERG, A new decision method for elementary algebra, Ann. of Math., 60 (1954), 365-374. Zbl0056.01804MR16,209a
  16. [16] J. SOTOMAYOR, Generic 1-parameter families of flows on 2-manifolds, Publ. math. I.H.E.S., n° 43 (1973), 5-46. Zbl0279.58008
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  18. [18] F. TAKENS, A non-stabilizable jet of a singularity of a vector field, to appear in the Proceedings of the Symposium on Dynamical Systems in Salvador (1971). Zbl0283.58009
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Citations in EuDML Documents

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  1. Patrick Bonckaert, Smooth invariant curves of singularities of vector fields on 3
  2. Massimo Villarini, Smooth linearization of centres
  3. F. Dumortier, Robert Roussarie, Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilité finie
  4. Floris Takens, Normal forms for certain singularities of vectorfields
  5. Michèle Pelletier, Éclatements quasi homogènes
  6. Carlos Gutierrez, Victor Guíñez, Positive quadratic differential forms : linearization, finite determinacy and versal unfolding
  7. Patrick Bonckaert, Freek Verstringe, Normal forms with exponentially small remainder and Gevrey normalization for vector fields with a nilpotent linear part
  8. Julien Aurouet, Dynamique et formes normales d’équations différentielles implicites
  9. Xianghong Gong, Integrable analytic vector fields with a nilpotent linear part
  10. Michel Berthier, Robert Moussu, Réversibilité et classification des centres nilpotents

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