AbstractIn this note we give a family of planar polynomial differential systems with a prescribed hyperbolic limit cycle. This family constitutes a corrected and wider version of an example given in the work [M.A. Abdelkader, Relaxation oscillators with exact limit cycles, J. Math. Anal. Appl. 218 (1998) 308–312]. The result given in this note may be used to construct models of Liénard differential equations exhibiting a desired limit cycle
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that ...
AbstractWe consider a planar differential system x˙=P(x,y), y˙=Q(x,y), where P and Q are C1 function...
In the qualitative theory of differential equations in the plane one of the most difficult objects t...
AbstractIn this note we give a family of planar polynomial differential systems with a prescribed hy...
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates...
We consider a class of autonomous planar polynomial differentialsystems on the plane, we provide suf...
AbstractAs an inverse problem for relaxation oscillators modeled by the autonomous Liénard different...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential sy...
Since Hilbert posed the problem of systematically counting and locating lhe limit cycle of polynomia...
Agraïments: The first author is supported by NSFC-10831003 and by CICYT grant number 2009PIV00064.We...
This paper deals with the problem of location and existence of limit cycles for real planar polynomi...
In this paper we study the limit cycles of the planar polynomial differential systems * x=ax-y P_n(x...
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or...
International audienceWe provide several new criteria for the non-existence and the existence of lim...
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that ...
AbstractWe consider a planar differential system x˙=P(x,y), y˙=Q(x,y), where P and Q are C1 function...
In the qualitative theory of differential equations in the plane one of the most difficult objects t...
AbstractIn this note we give a family of planar polynomial differential systems with a prescribed hy...
We consider a family of planar vector fields that writes as a Liénard system in suitable coordinates...
We consider a class of autonomous planar polynomial differentialsystems on the plane, we provide suf...
AbstractAs an inverse problem for relaxation oscillators modeled by the autonomous Liénard different...
AbstractWe consider a class of planar differential equations which include the Liénard differential ...
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential sy...
Since Hilbert posed the problem of systematically counting and locating lhe limit cycle of polynomia...
Agraïments: The first author is supported by NSFC-10831003 and by CICYT grant number 2009PIV00064.We...
This paper deals with the problem of location and existence of limit cycles for real planar polynomi...
In this paper we study the limit cycles of the planar polynomial differential systems * x=ax-y P_n(x...
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or...
International audienceWe provide several new criteria for the non-existence and the existence of lim...
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that ...
AbstractWe consider a planar differential system x˙=P(x,y), y˙=Q(x,y), where P and Q are C1 function...
In the qualitative theory of differential equations in the plane one of the most difficult objects t...
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