Normal forms of families of maps in the Poincaré domain

Proceedings of the Steklov Institute of Mathematics - Tập 254 Số 1 - Trang 94-102 - 2006
I. A. Gorbovitskis1
1Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

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Tài liệu tham khảo

V. I. Arnold, Geometric Methods in the Theory of Ordinary Differential Equations (MTsNMO, Moscow, 2002) [in Russian].

N. N. Brushlinskaya, “Versal Family of Vector Fields of a Poincaré Domain,” Funkts. Anal. Prilozh. 4(1), 6–13 (1970) [Funct. Anal. Appl. 4, 5–11 (1970)].

Yu. S. Il’yashenko and A. S. Pyartli, “The Materialization of Poincaré Resonances and the Divergence of Normalizing Series,” Proc. Semin. im. I.G. Petrovskogo 7, 3–49 (1981).

B. V. Shabat, Introduction to Complex Analysis (Nauka, Moscow, 1969) [in Russian].