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Structural stability of simplest dynamical inequalities

  • Yu. A. Grishina
  • A. A. Davydov
Article

Abstract

The structural stability of families of orbits is proved for the simplest generic smooth dynamical inequality in the plane with bounded complement of the domain of complete controllability. Typical singularities of the boundaries of nonlocal transitivity zones for such inequalities are found. The stability of these singularities under small perturbations of the generic inequality is proved.

Keywords

Singular Point Structural Stability STEKLOV Institute Limit Direction Phase Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • Yu. A. Grishina
    • 1
  • A. A. Davydov
    • 1
    • 2
  1. 1.Vladimir State UniversityVladimirRussia
  2. 2.International Institute for Applied Systems AnalysisLaxenburgAustria

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