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Stability of local transitivity of a generic control system on a surface with boundary

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Abstract

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.

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Authors and Affiliations

  1. Vladimir State University, ul. Gor’kogo 87, Vladimir, 600000, Russia

    Hy Đú’c Mạnh

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  1. Hy Đú’c Mạnh
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Correspondence to Hy Đú’c Mạnh.

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Original Russian Text © Hy Đú’c Mạnh, 2012, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Vol. 278, pp. 269–275.

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Mạnh, H.Đ. Stability of local transitivity of a generic control system on a surface with boundary. Proc. Steklov Inst. Math. 278, 260–266 (2012). https://doi.org/10.1134/S0081543812060259

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  • DOI: https://doi.org/10.1134/S0081543812060259

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