CONDITIONS FOR TOPOLOGICAL EQUIVALENCE OF LOCAL QUALITATIVE SINGULARITIES OF DYNAMICAL SYSTEMS WITH IMPACT INTERACTIONS
Sergey Gorbikov
For the introduced class of dynamical systems with impact interactions, local singularities (six types) are determined. Properties that allow us to prove the topological equivalence of these singularities are described for them. A number of unsolved problems are formulated, which are adjacent to the problems considered in the article.
CYBERNETICS AND PHYSICS 2021, Vol. 10, Is.2, 75–79. https://doi.org/10.35470/2226-4116-2021-10-2-75-79