REFERENCES
Andreev, A.F., Osobye tochki differentsial'nykh uravnenii(Singular Points of Differential Equations), Minsk, 1979.
Amel'kin, V.V., Lukashevich, N.A., and Sadovskii, A.P., Nelineinye kolebaniya v sistemakh vtorogo poryadka(Nonlinear Oscillations in Second-Order Systems), Minsk, 1982.
Andreev, A.F., Prikl. Mat. Mekh., 1953, vol. 17, no. 3, pp. 333-338.
Sadovskii, A.P., Differents. Uravn., 1968, vol. 4, no. 11, pp. 2002-2009.
Gunning, R. and Rossi, H., Analytic Functions of Several Complex Variables, Englewood-Cliffs, 1965. Translated under the title Analiticheskie funktsii mnogikh kompleksnykh peremennykh, Moscow: Mir, 1969.
Lyapunov, A.M., Obshchaya zadacha ob ustoichivosti dvizheniya(General Problem of Motion Stability), Moscow, 1950.
Andronov, A.A., Leontovich, E.A., Gordon, I.I., and Maier, A.G., Kachestvennaya teoriya dinamicheskikh sistem vtorogo poryadka (Qualitative Theory of Second-Order Dynamical Systems), Moscow, 1966.
Romanovskii, V.G., Vestn. LGU. Matematika, Mekhanika, Astronomiya, 1986, vol. 19, no. 4, pp. 82-7.
Bibikov, Yu.N., Kurs obyknovennykh differentsial'nykh uravnenii(Course of Ordinary Differential Equations), Moscow, 1991.
Bryuno, A.D., Lokal'nyi metod nelineinogo analiza differentsial'nykh uravnenii(A Local Method of Nonlinear Analysis of Differential Equations), Moscow, 1979. DIFFERENTIAL EQUATIONS Vol. 39 No. 2 2003
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Andreev, A.F., Sadovskii, A.P. & Tsikalyuk, V.A. The Center-Focus Problem for a System with Homogeneous Nonlinearities in the Case of Zero Eigenvalues of the Linear Part. Differential Equations 39, 155–164 (2003). https://doi.org/10.1023/A:1025192613518
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DOI: https://doi.org/10.1023/A:1025192613518