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.

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

@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},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {1986},
     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
PB  - mathdoc
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
%I mathdoc
%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