Analytic classification of generic degenerate elementary singular points of germs of holomorphic vector fields on the complex plane
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2002), pp. 13-16.

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S. M. Voronin; Yu. I. Meshcheryakova. Analytic classification of generic degenerate elementary singular points of germs of holomorphic vector fields on the complex plane. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2002), pp. 13-16. http://geodesic.mathdoc.fr/item/IVM_2002_1_a2/

[1] Martinet J., Ramis J. P., “Probléme de modules pour des équations différentielles non linéaires du premier ordre”, Pabl. Math. Inst. Hautes Études Sci., 55 (1982), 63–164 | DOI | MR | Zbl

[2] Il'yashenko Yu., Nonlinear Stokes Phenomena, Adv. in Sov. Math., 14, Amer. Math. Soc., Providence, 1993, 287 pp. | MR

[3] Voronin S. M., Grinchii A. A., “Analytic classification of saddle resonant singular points of holomorfic vector fields on the complex plane”, J. of Dynamical and Control Systems, 2:1 (1996), 1–15 | DOI | MR

[4] Arnold V. I., Ilyashenko Yu. S., “Obyknovennye differentsialnye uravneniya”, Itogi nauki i tekhn. Sovr. probl. matem. Fundam. napravleniya, 1, VINITI, M., 1985, 7–149 | MR | Zbl

[5] Voronin S. M., Grinchii A. A., Analiticheskaya klassifikatsiya $t$-sdvigov, Dep. v VINITI 24.05.96, No 1689-B96, Chelyabinsk. gos. un-t, Chelyabinsk, 1996, 33 pp.

[6] Mescheryakova Yu. I., Formalnye normalnye formy izolirovannykh vyrozhdennykh elementarnykh osobykh tochek, Dep. v VINITI 24.09.98, No 2848-B98, Chelyabinsk. gos. un-t, Chelyabinsk, 1998, 12 pp.