Add to ORKGGiven an analytic family of vector fields in R2 having a saddle point, we study the asymptotic development of the time function along the union of the two separatrices. We obtain a result (depending uniformly on the parameters) which we apply to investigate the bifurcation of critical periods of quadratic centres. Mathematics Subject Classification: 34C07, 34C23, 34C2
ABSTRACT. In this paper we study the limit cycles of polynomial vector fields in R3 which bifurcates...
International audienceIn this paper we study unfoldings of saddle-nodes and their Dulac time. By unf...
International audienceAmong all bifurcation behaviors of analytic parametric families of real planar...
AbstractThis paper is concerned with the study of the number of critical periods of perturbed isochr...
AbstractThe generic isolated bifurcations for one-parameter families of smooth planar vector fields ...
AbstractWe study the bifurcation of limit cycles in general quadratic perturbations of plane quadrat...
AbstractFor a one parameter family of plane quadratic vector fields X(.,ε) depending analytically on...
AbstractIn this paper we discuss bifurcation of critical periods in an m-th degree time-reversible s...
AbstractConsider a family of planar systems x˙=X(x,ε) having a center at the origin and assume that ...
The period annuli of the planar vector field x' = −yF(x, y), y' = xF(x, y), where the set {F(x, y) =...
In this paper we study the period function of ẍ = (1 x) p − (1 x) q , with p, q ∈ R and p > q. We pr...
Altres ajuts: UNAB10-4E-378, co-funded by ERDF "A way to build Europe" and by the French ANR-11-BS01...
In this paper we consider the unfolding of saddle-node X=1xUa(x,y)(x(xμ−ε)∂x−Va(x)y∂y), parametrized...
In this work we study the criticality of some planar systems of polynomial differential equations hav...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
ABSTRACT. In this paper we study the limit cycles of polynomial vector fields in R3 which bifurcates...
International audienceIn this paper we study unfoldings of saddle-nodes and their Dulac time. By unf...
International audienceAmong all bifurcation behaviors of analytic parametric families of real planar...
AbstractThis paper is concerned with the study of the number of critical periods of perturbed isochr...
AbstractThe generic isolated bifurcations for one-parameter families of smooth planar vector fields ...
AbstractWe study the bifurcation of limit cycles in general quadratic perturbations of plane quadrat...
AbstractFor a one parameter family of plane quadratic vector fields X(.,ε) depending analytically on...
AbstractIn this paper we discuss bifurcation of critical periods in an m-th degree time-reversible s...
AbstractConsider a family of planar systems x˙=X(x,ε) having a center at the origin and assume that ...
The period annuli of the planar vector field x' = −yF(x, y), y' = xF(x, y), where the set {F(x, y) =...
In this paper we study the period function of ẍ = (1 x) p − (1 x) q , with p, q ∈ R and p > q. We pr...
Altres ajuts: UNAB10-4E-378, co-funded by ERDF "A way to build Europe" and by the French ANR-11-BS01...
In this paper we consider the unfolding of saddle-node X=1xUa(x,y)(x(xμ−ε)∂x−Va(x)y∂y), parametrized...
In this work we study the criticality of some planar systems of polynomial differential equations hav...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
ABSTRACT. In this paper we study the limit cycles of polynomial vector fields in R3 which bifurcates...
International audienceIn this paper we study unfoldings of saddle-nodes and their Dulac time. By unf...
International audienceAmong all bifurcation behaviors of analytic parametric families of real planar...