Geodesic
Проблема различения центра и фокуса в классе ростков
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 9 (2003), pp. 86-110 
N. B. Medvedeva. Проблема различения центра и фокуса в классе ростков. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 9 (2003), pp. 86-110. http://geodesic.mathdoc.fr/item/VCHGU_2003_9_a5/
@article{VCHGU_2003_9_a5,
     author = {N. B. Medvedeva},
     title = {{\CYRP}{\cyrr}{\cyro}{\cyrb}{\cyrl}{\cyre}{\cyrm}{\cyra} {\cyrr}{\cyra}{\cyrz}{\cyrl}{\cyri}{\cyrch}{\cyre}{\cyrn}{\cyri}{\cyrya} {\cyrc}{\cyre}{\cyrn}{\cyrt}{\cyrr}{\cyra} {\cyri} {\cyrf}{\cyro}{\cyrk}{\cyru}{\cyrs}{\cyra} {\cyrv} {\cyrk}{\cyrl}{\cyra}{\cyrs}{\cyrs}{\cyre} {\cyrr}{\cyro}{\cyrs}{\cyrt}{\cyrk}{\cyro}{\cyrv}},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {86--110},
     year = {2003},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2003_9_a5/}
}
TY  - JOUR
AU  - N. B. Medvedeva
TI  - Проблема различения центра и фокуса в классе ростков
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 2003
SP  - 86
EP  - 110
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/VCHGU_2003_9_a5/
LA  - ru
ID  - VCHGU_2003_9_a5
ER  - 
%0 Journal Article
%A N. B. Medvedeva
%T Проблема различения центра и фокуса в классе ростков
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 2003
%P 86-110
%N 9
%U http://geodesic.mathdoc.fr/item/VCHGU_2003_9_a5/
%G ru
%F VCHGU_2003_9_a5

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

[1] Arnold V.I., “O lokalnykh zadachakh analiza”, Vestn. Mosk. unta. Ser. matematika, mekhanika, 1970, no. 2, 52 56

[2] Arnold V.I., “Algebraicheskaya nerazreshimost problemy ustoichivosti po Lyapunovu i problemy topologicheskoi klassifikatsii osobykh tochek analiticheskoi sistemy differentsialnykh uravnenii”, Funkts. analiz i ego prilozheniya, 4:3 (1970), 1–9

[3] Il'yashenko Yu.S., Finiteness Theorems for Limit Cycles, Translations of Mathematical Monographs, 94, AMS, 1991 | DOI | MR | Zbl

[4] Dumortier F., “Singularities of vectorfields on the plane”, Journ. Diff. Equa., 23 (1977), 53–106 | DOI | MR | Zbl

[5] Ilyashenko Yu.S., “Algebraicheskaya nerazreshimost i pochti algebraicheskaya razreshimost problemy tsentr-fokus”, Funkts. analiz i ego prilozheniya, 6:3 (1972), 30–37 | MR

[6] V. I. Arnold, Yu. S. Ilyashenko, “Obyknovennye differentsialnye uravneniya, I”, Sovremennye problemy matematiki. Fundamentalnye napravleniya. Itogi nauki i tekhniki, 1, M., 1985, 7–149 | Zbl

[7] Ilyashenko Yu.S., “Algebraicheski i analiticheski razreshimye lokalnye zadachi teorii obyknovennykh differentsialnykh uravnenii”, Tr. seminara. im. I.P. Petrovskogo, 12, 1987, 118 136

[8] Ilyashenko Yu.S., “Analiticheskaya nerazreshimost problemy ustoichivosti i problemy topologicheskoi klassifikatsii osobykh tochek analiticheskikh sistem differentsialnykh uravnenii”, Mat. sb., 99:2 (1976), 162–175 | MR | Zbl

[9] Medvedeva N.B., “Kriterii monodromnosti osoboi tochki vektornogo polya na ploskosti”, Algebra i analiz, 13:2 (2001), 130–150

[10] Dyulak A., O predelnykh tsiklakh, M., 1980

[11] Medvedeva N.B., “Analiticheskaya razreshimost problemy razlicheniya tsentra i fokusa v nekotorykh klassakh vektornykh polei so slozhnoi monodromnoi osoboi tochkoi”, Tr. Inta matematiki i mekhaniki UrO RAN, 8, no. 2, 2002, 120–141

[12] F. S. Berezovskaya, N. B. Medvedeva, “Asimptotika preobrazovaniya monodromii osoboi tochki s fiksirovannoi diagrammoi Nyutona”, Tr. seminara im. I. G. Petrovskogo, 15, 1991, 156–177

[13] Bryuno A. D., Stepennaya geometriya v algebraicheskikh i differentsialnykh uravneniyakh, M., 1998

[14] Yu. S. Ilyashenko, “Memuar Dyulaka «O predelnykh tsiklakh» i smezhnye voprosy lokalnoi teorii differentsialnykh uravnenii”, Uspekhi mat. nauk, 40:6 (1985), 41–78 | MR