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- Title
Construction of Planar Vector Fields with a Nonsimple Critical Point of Prescribed Topological Structure.
- Authors
Volkov, S. V.
- Abstract
The problem of constructing n-linear (n ≥ 2) plane vector fields with an isolated critical point and given separatrices of prescribed types is considered. Such constructions are based on the use of vector algebra, the qualitative theory of second-order dynamic systems and classical methods for investigating their critical points. This problem is essentially an inverse problem of the qualitative theory of ordinary differential equations, and its solution can be used to synthesize mathematical models of controlled dynamical systems of various physical nature.
- Subjects
CRITICAL point (Thermodynamics); VECTOR fields; VECTOR algebra; ORDINARY differential equations; INVERSE problems; MATHEMATICAL models; CRITICAL point theory
- Publication
Journal of Mathematical Sciences, 2024, Vol 283, Issue 1, p20
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-07237-3