Mathematics

In this talk we have deal with the singularities occur in the slow motion of slow-fast systems and in the affine-control systems with scalar input. These singularities can be considered from the common viewpoint. A proper construction allows to present singularities in these problems as singular points of special vector fields, which have a common property: among the germs of their components there exist some independent germs, which generate the local ideal containing all others components. Some theorems about such vector fields will be presented, and after that we will consider application of these theorems to the affine-control systems with scalar input. Seminars -