Add to ORKGUsing bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the forṁ= − ( , ),̇= ( , ) with an arbitrary polynomial vector field, where ( , ) = 1 − 3 or ( , ) = 1 − 4
28 pages; 20 figuresInternational audienceThis paper deals with the problem of location and existenc...
In this paper we give simple and low degree examples of one-parameter polynomial families of planar ...
In this paper the bifurcation of limit cycles at infinity for a class of homogeneous polynomial syst...
Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles th...
The period annuli of the planar vector field x' = −yF(x, y), y' = xF(x, y), where the set {F(x, y) =...
We perturb the vector field x˙=-yC(x,y), y˙=xC(x,y) with a polynomial perturbation of degree n, wher...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
Consider planar ordinary differential equations of the form x = -yC(x, y), y = xC(x, y), where C(x, ...
33 pages, 14 figuresWe study the number of limit cycles and the bifurcation diagram in the Poincar\'...
In this paper we outline some methods of finding limit cycles for planar autonomous systems with sma...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
We consider planar vector fields $f(x,y,\lambda)$ depending on a three-dimensional parameter vector ...
AbstractLet z˙=f(z) be an holomorphic differential equation having a center at p, and consider the f...
We study the number of periodic orbits that bifurcate from a cubic polynomial vector field having tw...
Agraïments: The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.We st...
28 pages; 20 figuresInternational audienceThis paper deals with the problem of location and existenc...
In this paper we give simple and low degree examples of one-parameter polynomial families of planar ...
In this paper the bifurcation of limit cycles at infinity for a class of homogeneous polynomial syst...
Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles th...
The period annuli of the planar vector field x' = −yF(x, y), y' = xF(x, y), where the set {F(x, y) =...
We perturb the vector field x˙=-yC(x,y), y˙=xC(x,y) with a polynomial perturbation of degree n, wher...
nd $, the inner and outer Abelian integrals are rational functions and we provide an upper bound for...
Consider planar ordinary differential equations of the form x = -yC(x, y), y = xC(x, y), where C(x, ...
33 pages, 14 figuresWe study the number of limit cycles and the bifurcation diagram in the Poincar\'...
In this paper we outline some methods of finding limit cycles for planar autonomous systems with sma...
Abstract. This paper deals with the problem of location and exis-tence of limit cycles for real plan...
We consider planar vector fields $f(x,y,\lambda)$ depending on a three-dimensional parameter vector ...
AbstractLet z˙=f(z) be an holomorphic differential equation having a center at p, and consider the f...
We study the number of periodic orbits that bifurcate from a cubic polynomial vector field having tw...
Agraïments: The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.We st...
28 pages; 20 figuresInternational audienceThis paper deals with the problem of location and existenc...
In this paper we give simple and low degree examples of one-parameter polynomial families of planar ...
In this paper the bifurcation of limit cycles at infinity for a class of homogeneous polynomial syst...