@article{SM_1991_69_1_a2,
author = {S. I. Trifonov},
title = {Divergence of {Dulac's} rows},
journal = {Sbornik. Mathematics},
pages = {37--56},
year = {1991},
volume = {69},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1991_69_1_a2/}
}
S. I. Trifonov. Divergence of Dulac's rows. Sbornik. Mathematics, Tome 69 (1991) no. 1, pp. 37-56. http://geodesic.mathdoc.fr/item/SM_1991_69_1_a2/
[1] Arnold V. I., Ilyashenko Yu. S., “Obyknovennye differentsialnye uravneniya”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 1, VINITI, M., 1985, 7–149 | MR
[2] Bogdanov R. I., “Lokalnye orbitalnye normalnye formy vektornykh polei na ploskosti”, Tr. sem. im. I. G. Petrovskogo, 1979, no. 5, 51–84 | MR | Zbl
[3] Bryuno A. D., Lokalnyi metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979 | MR
[4] Voronin S. M., “Analiticheskaya klassifikatsiya rostkov konformnykh otobrazhenii $(\mathbf{C}, 0)\to(\mathbf{C}, 0)$ s tozhdestvennoi lineinoi chastyu”, Funktsion. analiz, 15:1 (1981), 1–17 | MR | Zbl
[5] Dyulak A., O predelnykh tsiklakh, Nauka, M., 1980 | MR
[6] Elizarov P. M., “Orbitalnaya analiticheskaya neekvivalentnost sedlovykh rezonansnykh vektornykh polei v $(\mathbf{C}^2, 0)$”, Matem. sb., 123(165) (1984), 534–549 | MR
[7] Elizarov P. M., Emelyanov A. N., “Nealgebraichnost nekotorykh mnogoobrazii differentsialnykh uravnenii”, Vestn. MGU. Ser. 1. Matematika, mekhanika, 1978, no. 2, 57–64 | MR | Zbl
[8] Elizarov P. M., Ilyashenko Yu. S., “Zamechaniya ob orbitalnoi analiticheskoi klassifikatsii rostkov vektornykh polei”, Matem. sb., 121 (163) (1983), 111–126 | MR
[9] Ilyashenko Yu. S., “Predelnye tsikly polinomialnykh vektornykh polei s nevyrozhdennymi osobymi tochkami na ploskosti”, Funktsion. analiz, 18:3 (1984), 32–42 | MR
[10] Ilyashenko Yu. S., “Memuar Dyulaka «O predelnykh tsiklakh» i smezhnye voprosy lokalnoi teorii differentsialnykh uravnenii”, UMN, 40:6 (1985), 41–78 | MR
[11] Ilyashenko Yu. S., “V teorii normalnykh form analiticheskikh differentsialnykh uravnenii pri narushenii uslovii A. D. Bryuno raskhodimost—pravilo, skhodimost—isklyuchenie”, Vestn. MGU. Ser. 1. Matematika, mekhanika, 1981, no. 2, 10–15 | MR
[12] Puankare A., O krivykh, opredelyaemykh differentsialnymi uravneniyami, Gostekhizdat, M., L., 1947
[13] Scherbakov A. A., “O rostkakh otobrazhenii, analiticheski neekvivalentnykh svoei formalnoi normalnoi forme”, Funktsion. analiz, 16:2 (1982), 94–95 | MR | Zbl
[14] Bricman L., Thomas E. S., “Conformal equivalence on analytic flows”, J. Diff. Equat., 25 (1974), 310–324 | DOI
[15] Grauert H., “On Levi's problem and the imbedding of real analytic manifolds”, Annals of Math., 68 (1960), 460–472 | DOI | MR
[16] Ecalle J., “Théorie itérative. Introduction a la théorie des invariants holomorphes”, J. Math. Pures et Appl., 54 (1975), 183–258 | MR | Zbl
[17] Ecalle J., “Théorie des invariants holomorphes”, J. Publ. Math. d'Orsay, no. 67-74.09
[18] Malgrange B., “Travaux d'Ecalle et de Martinet-Ramis sur les systémes dynamiques”, Séminaire Bourbaki, November, 1981