Polynomial differential systems with hyperbolic algebraic limit cycles

For a given algebraic curve of degree n, we exhibit differential systems of degree greater than or equal to n, by introducing functions which are solutions of certain partial differential equations. These systems admit precisely the bounded components of the curve as limit cycles.

Elmentve itt :
Bibliográfiai részletek
Szerző: Benyoucef Salah
Dokumentumtípus: Folyóirat
Megjelent: 2020
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
Online Access:http://acta.bibl.u-szeged.hu/69538
Leíró adatok
Tartalmi kivonat:For a given algebraic curve of degree n, we exhibit differential systems of degree greater than or equal to n, by introducing functions which are solutions of certain partial differential equations. These systems admit precisely the bounded components of the curve as limit cycles.
ISSN:1417-3875