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

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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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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Keywords

  • Convex Hull
  • Generic System
  • STEKLOV Institute
  • Generic Singularity
  • Phase Curve