A Class of Cubic Systems with Two Centers or Two Foci

Lansun Chen , Zhengyi Lu , Dongming Wang (1)

1 CALFOR - Calcul formel

In this paper, the necessary and sufficient conditions for a class of cubic differential systems to possess two centers are given. Some conditions for the systems to have two weak foci are also derived by using the computer algebra system Maple.

Domaines: Informatique [cs]

Lansun Chen, Zhengyi Lu, Dongming Wang. A Class of Cubic Systems with Two Centers or Two Foci. Journal of Mathematical Analysis and Applications, 2000, 242 (2), pp.154-163. ⟨10.1006/jmaa.1999.6630⟩. ⟨hal-01148787⟩