Abstract
Normal systems of differential equations in the plane are considered. All topological types of their singular points are described. A criterion in terms of coefficients is obtained.
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References
A. F. Andreev, Singular Points of Differential Equations (Vysheishaya Shkola, Minsk, 1979) [in Russian].
A. F. Andreev, An Introduction to the Local Qualitative Theory of Differential Equations (S.-Peterburg. Gos. Univ., St. Petersburg, 2003) [in Russian].
A. F. Andreev and I. A. Andreeva, “A Qualitative Study of a Family of Cubic A 2-Systems. I,” in Nonlinear Dynamical Systems, Ed. by G.A. Leonov (S.-Peterburg. Gos. Univ., St. Petersburg, 2005), Vol. 5, pp. 5–16 [in Russian].
Additional information
Original Russian Text © A.F. Andreev, I.A. Andreeva, 2007, published in Vestnik Sankt-Petersburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2007, No. 2, pp. 11–16.
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Andreev, A.F., Andreeva, I.A. Local study of a family of planar cubic systems. Vestnik St.Petersb. Univ.Math. 40, 99–103 (2007). https://doi.org/10.3103/S1063454107020021
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DOI: https://doi.org/10.3103/S1063454107020021