This article presents sufficient conditions for the non-existence of limit cycles for planar vector fields. Classical methods for the nonexistence of limit cycles are connected with the theory developed here
AbstractWe show that every finite configuration of disjoint simple closed curves of the plane is top...
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with...
AbstractWe study the cyclicity and the center problem for a special family of planar differential eq...
This article presents sufficient conditions for the non-existence of limit cycles for planar vec...
We give sufficient conditions to ensure uniqueness of limit cycles for a class of planar vector fiel...
We give sufficient conditions to ensure uniqueness of limit cycles for a class of planar vector fiel...
AbstractIn Gasull, Llibre, and Sotomayor. (J. Differential Equations, in press) we studied the numbe...
Recent work links certain aspects of the second part of Hilbertâ s 16th problem (H16) to the theory...
International audienceThis article uses analytic geometry methods to bound the number of limit cycle...
We consider planar vector fields depending on a real parameter. It is assumed that this vector field...
This paper is an extension to the recent results presented by M. Sabatini about the existence and un...
AbstractGiven a planar vector field U which generates the Lie symmetry of some other vector field X,...
We apply the averaging method in a class of planar systems given by a linear center perturbed by a s...
28 pages; 20 figuresInternational audienceThis paper deals with the problem of location and existenc...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
AbstractWe show that every finite configuration of disjoint simple closed curves of the plane is top...
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with...
AbstractWe study the cyclicity and the center problem for a special family of planar differential eq...
This article presents sufficient conditions for the non-existence of limit cycles for planar vec...
We give sufficient conditions to ensure uniqueness of limit cycles for a class of planar vector fiel...
We give sufficient conditions to ensure uniqueness of limit cycles for a class of planar vector fiel...
AbstractIn Gasull, Llibre, and Sotomayor. (J. Differential Equations, in press) we studied the numbe...
Recent work links certain aspects of the second part of Hilbertâ s 16th problem (H16) to the theory...
International audienceThis article uses analytic geometry methods to bound the number of limit cycle...
We consider planar vector fields depending on a real parameter. It is assumed that this vector field...
This paper is an extension to the recent results presented by M. Sabatini about the existence and un...
AbstractGiven a planar vector field U which generates the Lie symmetry of some other vector field X,...
We apply the averaging method in a class of planar systems given by a linear center perturbed by a s...
28 pages; 20 figuresInternational audienceThis paper deals with the problem of location and existenc...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
AbstractWe show that every finite configuration of disjoint simple closed curves of the plane is top...
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with...
AbstractWe study the cyclicity and the center problem for a special family of planar differential eq...