Une résolution élémentaire d'un problème de scission de séparatrices

Augustin Fruchard

Annales mathématiques Blaise Pascal (1997)

  • Volume: 4, Issue: 1, page 37-47
  • ISSN: 1259-1734

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Fruchard, Augustin. "Une résolution élémentaire d'un problème de scission de séparatrices." Annales mathématiques Blaise Pascal 4.1 (1997): 37-47. <http://eudml.org/doc/79179>.

@article{Fruchard1997,
author = {Fruchard, Augustin},
journal = {Annales mathématiques Blaise Pascal},
keywords = {spliting of separatrices; small step size difference equations; logistic equation; phantom solutions; elementary solution},
language = {fre},
number = {1},
pages = {37-47},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Une résolution élémentaire d'un problème de scission de séparatrices},
url = {http://eudml.org/doc/79179},
volume = {4},
year = {1997},
}

TY - JOUR
AU - Fruchard, Augustin
TI - Une résolution élémentaire d'un problème de scission de séparatrices
JO - Annales mathématiques Blaise Pascal
PY - 1997
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 4
IS - 1
SP - 37
EP - 47
LA - fre
KW - spliting of separatrices; small step size difference equations; logistic equation; phantom solutions; elementary solution
UR - http://eudml.org/doc/79179
ER -

References

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  1. [1] S.N. Chow, E.M. de Jagerand R. Lutz, The ghost solution of the logistic equation and a singular perturbation problem Advances in Computational Methods for boundary and interior layers, (Dublin, 1984) 15-20. Zbl0628.65058MR774629
  2. [2] E. Fontich and C. Simo, The splitting of separatrices for analytic diffeomorphisms, Ergod.Th. & Dynam.Sys, 10 (1990) 295-318. Zbl0706.58061MR1062760
  3. [3] E. Fontich and C. Simo, Invariant manifolds for near identity maps and splitting of separatrices, Ergod.Th. & Dynam.Sys, 10 (1990) 319-346. Zbl0706.58060MR1062761
  4. [4] A. Fruchard, Les fonctions périodiques de période infiniment petite, C. R. Acad. Sci.318 Série I, 227-230 (1994). Zbl0799.39006MR1262901
  5. [5] A. Fruchard et R. Schäfke, Exponentially small splitting of separatrices for difference equations with small step size, prépublication IRMA 7, rue René Descartes 67084Strasbourg Cedex, France, (1994). MR1871573
  6. [6] V.F. Lazutkin, I.G. Schachmannski and M.B. Tabanov, Splitting of separatrices for standard and semistandard mappings, Physica D, 40235-248, (1989). Zbl0825.58033MR1029465
  7. [7] V.F. Lazutkin, Exponential splitting of separatrices and an analytic integral for the semistandard map, prépublication n° 7, Université Paris VII (1991). MR1025159
  8. [8] T. Sari , Stroboscopy, averaging and long time behaviour in dynamical systems, preprint Université de Sidi Bel Abbés (1990) Algérie. MR1369107
  9. [9] M. Yamaguti and S. Ushiki, Chaos in numerical analysis of ordinary differential equations, Physica 3D (1981) 618-626. Zbl1194.37064MR631190

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