Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.
The article is devoted to Darbouxian integrable planar systems whose right-hand sides are homogeneous polynomials. A new subclass of such systems having either a focus or a center at the origin is presented. Additionally, the authors consider the existence of algebraic limit cycles of mentioned systems.
scientific article; zbMATH DE number 2055350
scientific article