Algebraic criterion for the existence of a center at a monodromic singular point of a polynomial Liénard system. (English. Russian original) Zbl 1512.34066
Differ. Equ. 58, No. 8, 1008-1020 (2022); translation from Differ. Uravn. 58, No. 8, 1020-1031 (2022).
The center-focus problem for a polynomial Liénard system at a monodromic singular point is considered in the paper. The author obtains a description of the semialgebraic set of centers in the space of coefficients of the polynomials of this system.
Reviewer: Valery A. Gaiko (Minsk)
MSC:
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 34C25 | Periodic solutions to ordinary differential equations |
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