[eng] Periodic solutions, Abel equation, Alien limit cycles, Abelian integrals, Bifurcation', abstract = 'The aim of this paper is to study the existence of limit cycles for a family of generalized Abel equations x′=A(t)xm+B(t)xn, m,n≥2. Under certain assumptions, it is proved that there exists a non-trivial limit cycle. This limit cycle has the characteristic that it arises from neither a Hopf bifurcation nor a perturbation of periodic orbits in a period annulus around the centre at the origin.