The original Hilbert's 16th problem can be split into four parts consisting of Problems A–D. In
this paper, the progress of study on Hilbert's 16th problem is presented, and the relationship …

Universitext Page 1 123 Universitext Qualitative Theory of Planar Differential Systems Freddy
Dumortier Jaume Llibre Joan C. Artés Page 2 Page 3 123 Freddy Dumortier, Jaume Llibre …

This review paper contains a brief summary of topics and concepts related with some open
problems of planar differential systems. Most of them are related with 16th Hilbert problem …

Св и з зйжк н л к в гк жк л г и ж зйаиз г и в в и зий н г зг жгвгйз ви жз г к игж Ќ а з в и да в К
Ь з д д ж гвз зиз г илг д жизК Св и Ќжзи гв Дз и гвз Оп ЕИ л ж к л згб в ж а и в ей з и и джгк …

In this work we study isochronous centers of two-dimensional autonomous system in the
plane with linear part of center type and non-linear part given by homogeneous polynomials …

The relation between limit cycles of planar differential systems and the inverse integrating
factor was first shown in an article of Giacomini, Llibre and Viano appeared in 1996. From …

Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields -
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We consider differential systems in the plane defined by the sum of two homogeneous
vector fields. We assume that the origin is a degenerate singular point for these differential …

In this work we study the integrability of two-dimensional autonomous system in the plane
with linear part of center type and non-linear part given by homogeneous polynomials of fifth …

Cherkas' method characterizes centers for analytic Liénard differential equations. We extend
his method to degenerate Liénard differential equations and we apply this extension to solve …