@article{SM_1987_58_1_a9,
author = {V. P. Tareev},
title = {A~complex succession function in the problem of generation of complex limit cylinders and their relation with real limit cycles},
journal = {Sbornik. Mathematics},
pages = {169--183},
year = {1987},
volume = {58},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1987_58_1_a9/}
}
TY - JOUR AU - V. P. Tareev TI - A complex succession function in the problem of generation of complex limit cylinders and their relation with real limit cycles JO - Sbornik. Mathematics PY - 1987 SP - 169 EP - 183 VL - 58 IS - 1 UR - http://geodesic.mathdoc.fr/item/SM_1987_58_1_a9/ LA - en ID - SM_1987_58_1_a9 ER -
V. P. Tareev. A complex succession function in the problem of generation of complex limit cylinders and their relation with real limit cycles. Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 169-183. http://geodesic.mathdoc.fr/item/SM_1987_58_1_a9/
[1] Andronov A. A., Leontovich E. A., “Rozhdenie predelnykh tsiklov iz negrubogo fokusa ili tsentra i ot negrubogo predelnogo tsikla”, Matem. sb., 40(82) (1956), 179–224 | MR | Zbl
[2] Arnold V. I., “Zamechaniya ob osobennostyakh konechnoi korazmernosti v kompleksnykh dinamicheskikh sistemakh”, Funktsion. analiz i ego pril., 3:1 (1969), 1–6 | MR | Zbl
[3] Arnold V. I., Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1978 | MR
[4] Arnold V. I., “Bifurkatsii invariantnykh mnogoobrazii differentsialnykh uravnenii i normalnye formy okrestnostei ellipticheskikh krivykh”, Funktsion. analiz i ego pril., 10:4 (1976), 1–12 | MR | Zbl
[5] Bogdanov R. I., “Lokalnye orbitalnye normalnye formy vektornykh polei na ploskosti”, Tr. seminara im. I. G. Petrovskogo, 5 (1979), 51–84 | MR | Zbl
[6] Bryuno A. D., Lokalnyi metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979 | MR
[7] Dyulak A., O predelnykh tsiklakh, Nauka, M., 1980 | MR
[8] Ilyashenko Yu. S., “Vozniknovenie predelnykh tsiklov pri vozmuschenii uravneniya $\frac{dw}{dz}=-\frac{R_z}{R_{\omega}}$, gde $R(z,w)$ – mnogochlen”, Matem. sb., 78(120) (1969), 360–379 | MR
[9] Ilyashenko Yu. S, Pyartli A. S., “Materializatsiya rezonansov Puankare i raskhodimost normalizuyuschikh ryadov”, Tr. seminara im. I. G. Petrovskogo, 7 (1981), 3–49 | MR | Zbl
[10] Ilyashenko Yu. S, Pyartli A. S., “Materializatsiya rezonansov i raskhodimost normalizuyuschikh ryadov dlya polinomialnykh differentsialnykh uravnenii”, Tr. seminara im. I. G. Petrovskogo, 8 (1982), 111–127 | MR | Zbl
[11] Ilyashenko Yu. S., Osobye tochki i predelnye tsikly differentsialnykh uravnenii na veschestvennoi i kompleksnoi ploskosti, Preprint NIVTs AN SSSR, ONTI NIVTs AN SSSR, Puschino, 1982
[12] Leontovich E. A., Tareev V. P., “K voprosu o rozhdenii integralnykh krivykh ot separatrisnogo konusa dvumernoi kompleksnoi dinamicheskoi sistemy”, DAN SSSR, 207:6 (1972), 1277–1280 | MR | Zbl
[13] Leontovich E. A., Tareev V. P., “O kanonicheskoi forme differentsialnogo uravneniya, zavisyaschego ot parametra, v okrestnosti osoboi tochki iz oblasti Zigelya”, Metody kachestvennoi teorii differentsialnykh uravnenii, Gorkii, 1980, 108–122 | MR
[14] Petrovskii I. G., Landis E. M., “O chisle predelnykh tsiklov uravneniya $-\frac{dy}{dx}=\frac{P(x,y)}{Q(x,y)}$, gde $P$ i $Q$ – mnogochleny 2-i stepeni”, Matem. sb., 37(79) (1955), 209–250 | MR | Zbl
[15] Pyartli A. S., “Rozhdenie kompleksnykh invariantnykh mnogoobrazii vblizi osoboi tochki vektornogo polya, zavisyaschego ot parametra”, Funktsion. analiz i ego pril., 6:4 (1972), 95–96 | MR | Zbl
[16] Pyartli A. S., “Tsikly sistemy dvukh kompleksnykh differentsialnykh uravnenii v okrestnosti nepodvizhnoi tochki”, Tr. MMO, 37 (1978), 95–106 | MR | Zbl
[17] Tareev V. P., “O rozhdenii kompleksnykh predelnykh tsilindrov”, DAN SSSR, 209:2 (1973), 305–308 | MR | Zbl
[18] Dulac H., “Recherches sur les points singuliers des equations differentielles”, J. Ecole polytechn., Paris, sér. II, 9 (1904), 1–125