In this paper, complete integrability and linearizability of cubic Z 2 systems with two non-
resonant and elementary singular points are investigated. First of all, four simple normal …

In this paper, complex integrability and linearizability of cubic Z 2-equivariant systems with
two 1: q resonant singular points are investigated, and the necessary and sufficient …

We consider the two-dimensional autonomous systems of differential equations where the
origin is a monodromic degenerate singular point, ie, with null linear part. In this work we …

For a given planar differential system, a classical problem is to characterize the local
qualitative properties of equilibria. Moussu in 1982 provided a necessary and sufficient …

1. Introduction and statements of the main results Page 1 NILPOTENT GLOBAL CENTERS OF
LINEAR SYSTEMS WITH CUBIC HOMOGENEOUS NONLINEARITIES JOHANNA D …

This work is focused in the center problem for nilpotent singularities of differential systems in
the plane. Although there are involved methods to approach the center problem in this work …

We study the simultaneous existence of centres for two families of planar Z q-equivariant
systems. First, we give a short review about Z q-equivariant systems. Next, we present the …

In this paper, we generalize the Poincar\'e-Lyapunov method for systems with linear type
centers to study nilpotent centers in switching polynomial systems and use it to investigate …

The blow-up method proves its effectiveness to characterize the integrability of the resonant
saddles giving the necessary conditions to have formal integrability and the sufficiency …

We generalize the method of construction of an integrating factor for Abel differential
equations, developed in Briskin et al.(1998), for any generic monodromic singularity. Here …