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 …

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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 …

We mainly study polynomial differential systems of the form dx/dt= P (x, y), dy/dt= Q (x, y),
where P and Q are complex polynomials in the dependent complex variables x and y, and …

Algebraic aspects of integrability for polynomial systems — Universitat Autònoma de
Barcelona Research Portal Skip to main navigation Skip to search Skip to main content …

Inverse Jacobi multipliers are a natural generalization of inverse integrating factors to n-
dimensional dynamical systems. In this paper, the corresponding theory is developed from …

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 …

In this paper using theory of linear operators and normal forms we generalize a result of
Poincaré [11] about the non-existence of local first integrals for systems of differential …

In this work we study the narrow relation between reversibility and the center problem and
also between reversibility and the integrability problem. It is well known that an analytic …

In this paper we obtain necessary and sufficient integrability conditions at the origin for the
Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree …