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- Title
Investigation of a family of cubic dynamic systems.
- Authors
Andreev, Alexey; Andreeva, Irina
- Abstract
A family of dynamic systems acting on a real plane x, y has been considered, which polynomial right parts are reciprocal forms of x and y, one is a cubic, and another is a square form. A problem to reveal all topologically different phase portraits possible for these systems in a Poincare circle with coefficient criteria of every portrait's realization has been solved. A Poincare method of serial mappings - central and orthogonal - has been applied. Qualitative and quantitative results for phase portraits have been given. All stages of a solution process are described.
- Subjects
DYNAMICAL systems; LIMIT cycles; BOUNDARY value problems; NUMERICAL analysis; FINITE element method
- Publication
Vibroengineering Procedia, 2017, Vol 15, p88
- ISSN
2345-0533
- Publication type
Article
- DOI
10.21595/vp.2017.19389