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 …

The theory of integrability plays an important role in the study of the dynamics of differential
systems. This theory is related to several branches of mathematics, such as algebraic …

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 …

For cubic differential system with three invariant straight lines such that not one pair of the
lines is parallel and no more than two lines pass through the same point (in generic position) …

The paper deals with polynomials systems with degenerate infinity from different points of
view. We show the utility of the projective techniques for such systems, and a more detailed …

This book presents in an elementary way the recent significant developments in the
qualitative theory of planar dynamical systems. The subjects are covered as follows: the …

This article contains a brief summary of the topics and concepts related to 16b Hilbert
problem which refers to the existence of a bound on the number of limit cycles of a …