AbstractIn Gasull, Llibre, and Sotomayor. (J. Differential Equations, in press) we studied the number of limit cycles of planar vector fields as in the title. The case where the origin is a node with different eigenvalues, which then resisted our analysis, is solved in this paper
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with...
International audienceThis article uses analytic geometry methods to bound the number of limit cycle...
This article presents sufficient conditions for the non-existence of limit cycles for planar vec...
Abstract. The limit cycle bifurcations of a Z2 equivariant planar Hamiltonian vector field of degree...
AbstractWe study the cyclicity and the center problem for a special family of planar differential eq...
We consider planar vector fields depending on a real parameter. It is assumed that this vector field...
19 pages, 3 figuresInternational audienceDuring the last years the authors have studied the number o...
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...
AbstractThis work deals with limit cycles of real planar analytic vector fields. It is well known th...
We perturb the vector field x˙=-yC(x,y), y˙=xC(x,y) with a polynomial perturbation of degree n, wher...
We apply the averaging method in a class of planar systems given by a linear center perturbed by a s...
AbstractGiven a planar vector field U which generates the Lie symmetry of some other vector field X,...
We study planar polynomial differential equations with homogeneous components. This kind of equation...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with...
International audienceThis article uses analytic geometry methods to bound the number of limit cycle...
This article presents sufficient conditions for the non-existence of limit cycles for planar vec...
Abstract. The limit cycle bifurcations of a Z2 equivariant planar Hamiltonian vector field of degree...
AbstractWe study the cyclicity and the center problem for a special family of planar differential eq...
We consider planar vector fields depending on a real parameter. It is assumed that this vector field...
19 pages, 3 figuresInternational audienceDuring the last years the authors have studied the number o...
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...
AbstractThis work deals with limit cycles of real planar analytic vector fields. It is well known th...
We perturb the vector field x˙=-yC(x,y), y˙=xC(x,y) with a polynomial perturbation of degree n, wher...
We apply the averaging method in a class of planar systems given by a linear center perturbed by a s...
AbstractGiven a planar vector field U which generates the Lie symmetry of some other vector field X,...
We study planar polynomial differential equations with homogeneous components. This kind of equation...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with...
International audienceThis article uses analytic geometry methods to bound the number of limit cycle...
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