Structural stability of simplest dynamical inequalities
Authors: Grishina YA, Davydov AA
Publication Year: 2007
Reference: Proceedings of the Steklov Institute of Mathematics, 256(1):80-91 2007
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.