Add to ORKGIn the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitly given was presented. As an improvement, we obtain by a new method a similar result for a family of quintic polynomial differential systems
AbstractWe consider a system of the form x˙=Pn(x,y)+xRm(x,y), y˙=Qn(x,y)+yRm(x,y), where Pn(x,y), Qn...
International audienceWe consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y),...
Since Hilbert posed the problem of systematically counting and locating lhe limit cycle of polynomia...
AbstractThis work deals with algebraic limit cycles of planar polynomial differential systems of deg...
In the qualitative theory of differential equations in the plane one of the most difficult objects t...
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that ...
We consider a class of autonomous planar polynomial differentialsystems on the plane, we provide suf...
Algebraic limit cycles in quadratic polynomial differential systems started to be studied in 1958, a...
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential sy...
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles ...
AbstractWith the help of Abel differential equations we obtain a new class of Darboux integrable pla...
Neste trabalho apresentaremos ciclos limite algébricos para sistemas quadráticos e cúbicos. Para sis...
In this paper we study the limit cycles of the planar polynomial differential systems * x=ax-y P_n(x...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or...
AbstractWe consider a system of the form x˙=Pn(x,y)+xRm(x,y), y˙=Qn(x,y)+yRm(x,y), where Pn(x,y), Qn...
International audienceWe consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y),...
Since Hilbert posed the problem of systematically counting and locating lhe limit cycle of polynomia...
AbstractThis work deals with algebraic limit cycles of planar polynomial differential systems of deg...
In the qualitative theory of differential equations in the plane one of the most difficult objects t...
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that ...
We consider a class of autonomous planar polynomial differentialsystems on the plane, we provide suf...
Algebraic limit cycles in quadratic polynomial differential systems started to be studied in 1958, a...
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential sy...
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles ...
AbstractWith the help of Abel differential equations we obtain a new class of Darboux integrable pla...
Neste trabalho apresentaremos ciclos limite algébricos para sistemas quadráticos e cúbicos. Para sis...
In this paper we study the limit cycles of the planar polynomial differential systems * x=ax-y P_n(x...
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or...
AbstractWe consider a system of the form x˙=Pn(x,y)+xRm(x,y), y˙=Qn(x,y)+yRm(x,y), where Pn(x,y), Qn...
International audienceWe consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y),...
Since Hilbert posed the problem of systematically counting and locating lhe limit cycle of polynomia...