Geodesic
Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves
Funkcionalʹnyj analiz i ego priloženiâ, Tome 10 (1976) no. 4, pp. 1-12.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1976_10_4_a0,
     author = {V. I. Arnol'd},
     title = {Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {1--12},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1976_10_4_a0/}
}
TY  - JOUR
AU  - V. I. Arnol'd
TI  - Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1976
SP  - 1
EP  - 12
VL  - 10
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1976_10_4_a0/
LA  - ru
ID  - FAA_1976_10_4_a0
ER  - 
%0 Journal Article
%A V. I. Arnol'd
%T Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1976
%P 1-12
%V 10
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1976_10_4_a0/
%G ru
%F FAA_1976_10_4_a0
V. I. Arnol'd. Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves. Funkcionalʹnyj analiz i ego priloženiâ, Tome 10 (1976) no. 4, pp. 1-12. http://geodesic.mathdoc.fr/item/FAA_1976_10_4_a0/

[1] Andronov A.A., Leontovich E.A., “Nekotorye sluchai zavisimosti predelnykh tsiklov ot parametra”, Uchenye zapiski Gork. un-ta, 3, 1939; Собр. трудов А.А. Андронова, издание АН СССР, 1956, 188

[2] Arnold V.I., “Zamechaniya ob osobennostyakh konechnoi korazmernosti v kompleksnykh dinamicheskikh sistemakh”, Funkts. analiz, 3:1 (1969), 1–6 | MR

[3] Arnold V.I., “Osobennosti gladkikh otobrazhenii”, UMN, XXIII:1 (1968), 3–44

[4] Arnold V.I., “Ob otobrazheniyakh okruzhnosti na sebya”, Izv. AN SSSR, seriya matem., 25:1 (1961), 21–86 | MR

[5] Bryuno A.D., “Analiticheskaya forma differentsialnykh uravnenii”, Trudy Mosk. matem. ob-va, XXV, 1971, 120–262

[6] Bryuno A.D., “Normalnaya forma differentsialnykh uravnenii s malym parametrom”, Matem. zametki, 16:3 (1974), 407–414 | MR | Zbl

[7] Grauert H., “Über Modifikationen und exzeptionnelle analytische Mengen”, Math. Ann., 146 (1962), 331–368 | DOI | MR

[8] Siegel C.L., “Iteration of analytic functions”, Ann. Math., 43 (1942), 607–612 | DOI | MR | Zbl

[9] Siegel C.L., “Onthe integrals of canonical systems”, Ann. Math., 42 (1941), 806–822 | DOI | MR

[10] Poincare H., “Thése, 1879”, Oeuvres, 1 (1928) | Zbl

[11] Pyartli A.S., “Rozhdenie kompleksnykh invariantnykh mnogoobrazii vblizi osoboi tochki vektornogo polya, zavisyaschego ot parametra”, Funkts. analiz, 6:4 (1972), 95–96 | MR | Zbl

[12] Hopf E., Leipzig, Math. Phys. Kl., Berich. Sächs. Acad. Wiss., 94, no. 19, 1942 | MR

[13] Ogus A., “The formal Hodge filtration”, Invent. Math., 31:3 (1976), 193–228 | DOI | MR | Zbl