Polynomial differential systems with hyperbolic algebraic limit cycles

Electronic Journal of Qualitative Theory of Differential Equations

Salah Benyoucef¹ 

[1] Department of Mathematics, Faculty ofSciences, University Setif 1, Algeria.;

关键词: sixteenth problem of hilbert;    planar differential system;    invariant curve;    periodic solution;    hyperbolic limit cycle;   

DOI  :  10.14232/ejqtde.2020.1.34

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown