Geodesic
Asymptotic Stability of Linearizations of a Planar Vector Field with a Singular Point Implies Global Stability
Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 4, pp. 17-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. A. Glutsyuk. Asymptotic Stability of Linearizations of a Planar Vector Field with a Singular Point Implies Global Stability. Funkcionalʹnyj analiz i ego priloženiâ, Tome 29 (1995) no. 4, pp. 17-30. http://geodesic.mathdoc.fr/item/FAA_1995_29_4_a1/

[1] Meisters G., Olech C., “Solution of the global stability Jacobian conjecture for the polynomial case”, Analyse Mathématique et Applications, Gauthier–Villars, Paris, 1988, 373–381 | MR

[2] Olech C., “On the global stability of an autonomous system on the plane”, Cont. Differential Eq., 1 (1963), 389–400 | MR | Zbl

[3] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR | Zbl

[4] Glutsyuk A. A., “Polnoe reshenie problemy yakobiana dlya vektornykh polei na ploskosti”, UMN, 49:3 (1994), 179–180 | MR | Zbl

[5] Barabanov N. E., “O zadache Kalmana”, Sib. matem. zh., 29(3), 333–341 | MR | Zbl