Add to ORKGIn this paper we consider planar potential differential systems and we study the bifurcation of critical periodic orbits from the outer boundary of the period annulus of a center. In the literature the usual approach to tackle this problem is to obtain a uniform asymptotic expansion of the period function near the outer boundary. The novelty in the present paper is that we directly embed the derivative of the period function into a collection of functions that form a Chebyshev system near the outer boundary. We obtain in this way explicit sufficient conditions in order that at most n 0 critical periodic orbits bifurcate from the outer boundary. These theoretical results are then applied to study the bifurcation diagram of the period functio...
AbstractIn this paper we discuss bifurcation of critical periods in an m-th degree time-reversible s...
In this note, motivated by the recent results of Wang et al. [Wang et al., Local bifurcations of cri...
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 consider planar potential differential systems and we study the bifurcation of crit...
This paper is concerned with the study of the criticality of families of planar centers. More precis...
The number of critical periodic orbits that bifurcate from the outer boundary of a potential center ...
We study the asymptotic development at infinity of an integral operator. We use this development to ...
In this work we study the criticality of some planar systems of polynomial differential equations hav...
This paper deals with the period function of the reversible quadratic centers where . Compactifying ...
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...
AbstractWe consider planar differential equations of the form z˙=f(z)g(z¯) being f(z) and g(z) holom...
El principal interès d’aquesta memòria pertany al marc de la teoria qualitativa d’equacions diferen...
AbstractIn the present paper we study the period function of centers of potential systems. We obtain...
AbstractConsider a family of planar systems x˙=X(x,ε) having a center at the origin and assume that ...
In this work we are concerned with the problem of shape and period of isolated periodic solutions of...
AbstractIn this paper we discuss bifurcation of critical periods in an m-th degree time-reversible s...
In this note, motivated by the recent results of Wang et al. [Wang et al., Local bifurcations of cri...
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 consider planar potential differential systems and we study the bifurcation of crit...
This paper is concerned with the study of the criticality of families of planar centers. More precis...
The number of critical periodic orbits that bifurcate from the outer boundary of a potential center ...
We study the asymptotic development at infinity of an integral operator. We use this development to ...
In this work we study the criticality of some planar systems of polynomial differential equations hav...
This paper deals with the period function of the reversible quadratic centers where . Compactifying ...
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...
AbstractWe consider planar differential equations of the form z˙=f(z)g(z¯) being f(z) and g(z) holom...
El principal interès d’aquesta memòria pertany al marc de la teoria qualitativa d’equacions diferen...
AbstractIn the present paper we study the period function of centers of potential systems. We obtain...
AbstractConsider a family of planar systems x˙=X(x,ε) having a center at the origin and assume that ...
In this work we are concerned with the problem of shape and period of isolated periodic solutions of...
AbstractIn this paper we discuss bifurcation of critical periods in an m-th degree time-reversible s...
In this note, motivated by the recent results of Wang et al. [Wang et al., Local bifurcations of cri...
The period annuli of the planar vector field x' = −yF(x, y), y' = xF(x, y), where the set {F(x, y) =...