@article{FAA_1986_20_4_a0,
author = {G. R. Belitskii},
title = {Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--8},
year = {1986},
volume = {20},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1986_20_4_a0/}
}
TY - JOUR AU - G. R. Belitskii TI - Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1986 SP - 1 EP - 8 VL - 20 IS - 4 UR - http://geodesic.mathdoc.fr/item/FAA_1986_20_4_a0/ LA - ru ID - FAA_1986_20_4_a0 ER -
%0 Journal Article %A G. R. Belitskii %T Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues %J Funkcionalʹnyj analiz i ego priloženiâ %D 1986 %P 1-8 %V 20 %N 4 %U http://geodesic.mathdoc.fr/item/FAA_1986_20_4_a0/ %G ru %F FAA_1986_20_4_a0
G. R. Belitskii. Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues. Funkcionalʹnyj analiz i ego priloženiâ, Tome 20 (1986) no. 4, pp. 1-8. http://geodesic.mathdoc.fr/item/FAA_1986_20_4_a0/
[1] Arnold V.I., Ilyashenko Yu.S., “Obyknovennye differentsialnye uravneniya”, Dinamicheskie sistemy – 1, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 1, VINITI, M., 1985, 11–147 | MR | Zbl
[2] Dumortier F., Roussarie R., “Germes de diffeomorphisms et de champs de vecteurs en class de differentiabelite finie”, Grenoble Ann. Inst. Fourier, 33:1 (1983), 195–268 | DOI | MR
[3] Belitskii G.P., “Ob ekvivalentnosti semeistv lokalnykh diffeomorfizmov”, Funktsion. analiz i ego pril., 8:4 (1974), 81–82 | MR
[4] Ihikava F., “On finite determinity of formal vector fields”, Invent. math., 1982, no. 1, 45–52 | MR
[5] Takens F., “Normal forms certain singularities of vector fields”, Ann. Inst. Fourier, 23:2 (1973), 163–195 | DOI | MR | Zbl
[6] Belitskii G.P., Normalnye formy, invarianty i lokalnye otobrazheniya, Naukova dumka, Kiev, 1979 | MR
[7] Zhitomirskii M.Ya., O konechnoi opredelennosti differentsialnykh uravnenii otnositelno orbitalnoi ekvivalentnosti, Dep. v VINITI 22.11.82, No 5719-82, Kharkov, 1982
[8] Bryuno A.D., Lokalnsh metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979 | MR
[9] Belitskii G.R., “Funktsionalnye uravneniya i sopryazhennost lokalnykh otobrazhenii klassa $C^\infty$”, Mat. sb., 91:4 (1973), 565–579 | MR | Zbl
[10] Kuznetsov A.I., “Differentsiruemye resheniya vyrozhdayuschikhsya sistem obyknovennykh uravnenii”, Funktsion. analiz i ego pril., 6:2 (1972), 41–51 | MR | Zbl
[11] Takens F., “Singularities of vector fields”, Publ. Math. Inst. hautes etud. sci., 43 (1974), 47–100 | DOI | MR
[12] Arnold B.I., Afraimovich V.S., Ilyashenko Yu.S., Shilnikov L.I., “Teoriya bifurkatsii”, Dinamicheskie sistemy – 5, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 5, VINITI, M., 1986, 5–218 | MR