AbstractWith the help of Abel differential equations we obtain a new class of Darboux integrable planar polynomial differential systems, which have degenerate infinity. Moreover such integrable systems may have algebraic limit cycles. Also we present the explicit expressions of these algebraic limit cycles for quintic systems
AbstractThis work deals with planar polynomial differential systems {x˙}=P(x,y), {y˙}=Q(x,y). We giv...
Abstract In this article we summarize the results on algebraic aspects of integrability for polynomi...
The paper is divided into two parts. In the first one we present a survey about the theory of Darbou...
Agraïments: The first and third authors are partially supported by NNSF of China grant No. 10671123 ...
AbstractWith the help of Abel differential equations we obtain a new class of Darboux integrable pla...
AbstractWe consider the class of polynomial differential equations ẋ=λx−y+Pn(x,y),ẏ=x+λy+Qn(x,y), ...
In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested ...
Abstract. We consider the class of polynomial differential equations x ̇ = Pn(x, y)+Pn+1(x, y) +Pn+2...
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential sy...
We consider a class of autonomous planar polynomial differentialsystems on the plane, we provide suf...
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that ...
In the qualitative theory of differential equations in the plane one of the most difficult objects t...
Neste trabalho apresentaremos ciclos limite algébricos para sistemas quadráticos e cúbicos. Para sis...
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or...
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...
Abstract In this article we summarize the results on algebraic aspects of integrability for polynomi...
The paper is divided into two parts. In the first one we present a survey about the theory of Darbou...
Agraïments: The first and third authors are partially supported by NNSF of China grant No. 10671123 ...
AbstractWith the help of Abel differential equations we obtain a new class of Darboux integrable pla...
AbstractWe consider the class of polynomial differential equations ẋ=λx−y+Pn(x,y),ẏ=x+λy+Qn(x,y), ...
In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested ...
Abstract. We consider the class of polynomial differential equations x ̇ = Pn(x, y)+Pn+1(x, y) +Pn+2...
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential sy...
We consider a class of autonomous planar polynomial differentialsystems on the plane, we provide suf...
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that ...
In the qualitative theory of differential equations in the plane one of the most difficult objects t...
Neste trabalho apresentaremos ciclos limite algébricos para sistemas quadráticos e cúbicos. Para sis...
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or...
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...
Abstract In this article we summarize the results on algebraic aspects of integrability for polynomi...
The paper is divided into two parts. In the first one we present a survey about the theory of Darbou...
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