Geodesic
Stability of local transitivity of a generic control system on a surface with boundary
Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 269-275 
Hy Đú'c Mạnh. Stability of local transitivity of a generic control system on a surface with boundary. Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 269-275. http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a24/
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     title = {Stability of local transitivity of a~generic control system on a~surface with boundary},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A classification of generic singularities of local transitivity of smooth control systems on surfaces with boundary is obtained. The stability of these singularities and of the entire set of points with identical properties of local transitivity with respect to small perturbations of a generic system is proved.

[1] Arnold V.I., Varchenko A.N., Gusein-Zade S.M., Osobennosti differentsiruemykh otobrazhenii. Klassifikatsiya kriticheskikh tochek, kaustik i volnovykh frontov, Nauka, M., 1982 | MR

[2] Davydov A.A., “Osobennosti polei predelnykh napravlenii dvumernykh upravlyaemykh sistem”, Mat. sb., 136:4 (1988), 478–499 | MR

[3] Davydov A.A., “Lokalnaya upravlyaemost tipichnykh dinamicheskikh neravenstv na poverkhnostyakh”, Tr. MIAN, 209, 1995, 84–123 | MR | Zbl

[4] Petrov N.N., “Ob upravlyaemosti avtonomnykh sistem”, Dif. uravneniya, 4:4 (1968), 606–617 | Zbl

[5] Davydov A.A., Qualitative theory of control systems, Transl. Math. Monogr., 141, Amer. Math. Soc., Providence, RI, 1994 | MR | Zbl