Open AccessCONDITIONS FOR TOPOLOGICAL EQUIVALENCE OFLOCAL QUALITATIVE SINGULARITIES OF DYNAMICALSYSTEMS WITH IMPACT INTERACTIONS
Author(s) -
S. P. Gorbikov
Publication year - 2021
Publication title -
cybernetics and physics
Language(s) - English
Resource type - Journals
eISSN - 2226-4116
pISSN - 2223-7038
DOI - 10.35470/2226-4116-2021-10-2-75-79
Subject(s) - gravitational singularity , equivalence (formal languages) , class (philosophy) , mathematics , topology (electrical circuits) , equivalence class (music) , pure mathematics , computer science , mathematical analysis , combinatorics , artificial intelligence
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.