Smooth singular solutions of hyperplane fields. I

A. S. De Medeiros

Annales scientifiques de l'École Normale Supérieure (1990)

  • Volume: 23, Issue: 4, page 657-666
  • ISSN: 0012-9593

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De Medeiros, A. S.. "Smooth singular solutions of hyperplane fields. I." Annales scientifiques de l'École Normale Supérieure 23.4 (1990): 657-666. <http://eudml.org/doc/82286>.

@article{DeMedeiros1990,
author = {De Medeiros, A. S.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {holomorphic total differential equation; holomorphic singular solution},
language = {eng},
number = {4},
pages = {657-666},
publisher = {Elsevier},
title = {Smooth singular solutions of hyperplane fields. I},
url = {http://eudml.org/doc/82286},
volume = {23},
year = {1990},
}

TY - JOUR
AU - De Medeiros, A. S.
TI - Smooth singular solutions of hyperplane fields. I
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1990
PB - Elsevier
VL - 23
IS - 4
SP - 657
EP - 666
LA - eng
KW - holomorphic total differential equation; holomorphic singular solution
UR - http://eudml.org/doc/82286
ER -

References

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  1. [1] V. I. ARNOLD, Mathematical Methods of Classical Mechanics, Springer-Verlag, 1978, pp. 381-384. Zbl0386.70001MR57 #14033b
  2. [2] E. CARTAN, Les Systèmes Différentiels Extérieurs et Leurs Applications Géométriques, Hermann, Paris, 1971. Zbl0211.12701
  3. [3] A. R. FORSYTH, Theory of Differential Equations, Vol. I, Dover Publ. Inc., New York, pp. 80-81. 
  4. [4] C. GODBILLON, Géométrie Différentielle et Mécanique Analytique, Hermann, Paris, 1969, pp. 116-121. Zbl0174.24602MR39 #3416
  5. [5] W. HIRSCH, C. C. PUGH and M. SHUB, Invariant Manifolds, Lect. Notes Math., 583, Springer-Verlag, 1977. Zbl0355.58009
  6. [6] J. MARTINET, Sur les Singularités des Formes Différentielles Extérieures. Ann. Inst. Fourier, Grenoble, 20, 1970, pp. 95-178. Zbl0189.10001MR44 #3333
  7. [7] J. PALIS and F. TAKENS, Theory of Homoclinic Bifurcations. Cambridge University Press (to appear). Zbl0790.58014
  8. [8] J. WILLIAMSON, On an Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems, Am. J. Math., 58, 1936, pp. 141-163. Zbl0013.28401JFM62.1795.10

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