AbstractWe study the period function T of a center O of the title's equation. A sufficient condition for the monotonicity of T, or for the isochronicity of O, is given. Such a condition is also necessary, when f and g are odd and analytic. In this case a characterization of isochronous centers is given. Some classes of plane systems equivalent to such equation are considered, including some Kukles’ systems
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...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
To appear in Bulletin des Sciences MathématiquesInternational audienceWe study the isochronicity of ...
AbstractWe study the period functionTof a centerOof a Liénard system. A sufficient condition for the...
AbstractWe study the period function T of a center O of the title's equation. A sufficient condition...
AbstractIn this paper, we study planar differential systems possessing a center at the origin. We in...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
AbstractThis paper is concerned with the monotonicity of the period function for families of quadrat...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractThe present paper deals with the period function of the quadratic centers. In the literature...
Agraïments: The first author is partially supported by the DGES/FEDER grant MTM2011-26674-C02-01.In ...
AbstractIn this paper we study centers of planar polynomial Hamiltonian systems and we are intereste...
AbstractIf the Hamiltonian system with Hamiltonian H(x, y) = 12y2 + V(x) has a center at the origin ...
In this note, motivated by the recent results of Wang et al. [Wang et al., Local bifurcations of cri...
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...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
To appear in Bulletin des Sciences MathématiquesInternational audienceWe study the isochronicity of ...
AbstractWe study the period functionTof a centerOof a Liénard system. A sufficient condition for the...
AbstractWe study the period function T of a center O of the title's equation. A sufficient condition...
AbstractIn this paper, we study planar differential systems possessing a center at the origin. We in...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
AbstractThis paper is concerned with the monotonicity of the period function for families of quadrat...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractThe present paper deals with the period function of the quadratic centers. In the literature...
Agraïments: The first author is partially supported by the DGES/FEDER grant MTM2011-26674-C02-01.In ...
AbstractIn this paper we study centers of planar polynomial Hamiltonian systems and we are intereste...
AbstractIf the Hamiltonian system with Hamiltonian H(x, y) = 12y2 + V(x) has a center at the origin ...
In this note, motivated by the recent results of Wang et al. [Wang et al., Local bifurcations of cri...
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...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
To appear in Bulletin des Sciences MathématiquesInternational audienceWe study the isochronicity of ...
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