Une résolution élémentaire d'un problème de scission de séparatrices
Annales Mathématiques Blaise Pascal, Tome 4 (1997) no. 1, pp. 37-47.
@article{AMBP_1997__4_1_37_0,
     author = {Fruchard, Augustin},
     title = {Une r\'esolution \'el\'ementaire d'un probl\`eme de scission de s\'eparatrices},
     journal = {Annales Math\'ematiques Blaise Pascal},
     pages = {37--47},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
     volume = {4},
     number = {1},
     year = {1997},
     zbl = {0890.39006},
     mrnumber = {1442332},
     language = {fr},
     url = {www.numdam.org/item/AMBP_1997__4_1_37_0/}
}
Fruchard, Augustin. Une résolution élémentaire d'un problème de scission de séparatrices. Annales Mathématiques Blaise Pascal, Tome 4 (1997) no. 1, pp. 37-47. http://www.numdam.org/item/AMBP_1997__4_1_37_0/

[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. | MR 774629 | Zbl 0628.65058

[2] E. Fontich and C. Simo, The splitting of separatrices for analytic diffeomorphisms, Ergod.Th. & Dynam.Sys, 10 (1990) 295-318. | MR 1062760 | Zbl 0706.58061

[3] E. Fontich and C. Simo, Invariant manifolds for near identity maps and splitting of separatrices, Ergod.Th. & Dynam.Sys, 10 (1990) 319-346. | MR 1062761 | Zbl 0706.58060

[4] A. Fruchard, Les fonctions périodiques de période infiniment petite, C. R. Acad. Sci. 318 Série I, 227-230 (1994). | MR 1262901 | Zbl 0799.39006

[5] A. Fruchard et R. Schäfke, Exponentially small splitting of separatrices for difference equations with small step size, prépublication IRMA 7, rue René Descartes 67084 Strasbourg Cedex, France, (1994). | MR 1871573

[6] V.F. Lazutkin, I.G. Schachmannski and M.B. Tabanov, Splitting of separatrices for standard and semistandard mappings, Physica D, 40 235-248, (1989). | MR 1029465 | Zbl 0825.58033

[7] V.F. Lazutkin, Exponential splitting of separatrices and an analytic integral for the semistandard map, prépublication n° 7, Université Paris VII (1991). | MR 1025159

[8] T. Sari , Stroboscopy, averaging and long time behaviour in dynamical systems, preprint Université de Sidi Bel Abbés (1990) Algérie. | MR 1369107

[9] M. Yamaguti and S. Ushiki, Chaos in numerical analysis of ordinary differential equations, Physica 3D (1981) 618-626. | MR 631190