Add to ORKGThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such systems have no isochronous centers, that the period annulus of any of its centres is either bounded or the whole plane and that the period function associated to the origin has at most one critical point
16 pagesWe study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x...
AbstractWe look for periodic solutions of planar systems obtained by adding an asymptotically positi...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
The paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such systems...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
AbstractIn this paper we study centers of planar polynomial Hamiltonian systems and we are intereste...
We provide a criterion to determine the convexity of the period function for a class of planar Hamil...
We study the global behaviour of the period function on the period annulus of degenerate centers for...
AbstractWe consider some analytic behaviors (convexity, monotonicity and number of critical points) ...
[eng] We study the global behaviour of the period function on the period annulus of degenerate cente...
AbstractIn this work we study the period function T of solutions to the conservative equation x″(t)+...
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, i...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
We look for periodic solutions of planar systems obtained by adding an asymptotically positively hom...
16 pagesWe study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x...
AbstractWe look for periodic solutions of planar systems obtained by adding an asymptotically positi...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...
The paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such systems...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
AbstractIn this paper we study centers of planar polynomial Hamiltonian systems and we are intereste...
We provide a criterion to determine the convexity of the period function for a class of planar Hamil...
We study the global behaviour of the period function on the period annulus of degenerate centers for...
AbstractWe consider some analytic behaviors (convexity, monotonicity and number of critical points) ...
[eng] We study the global behaviour of the period function on the period annulus of degenerate cente...
AbstractIn this work we study the period function T of solutions to the conservative equation x″(t)+...
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, i...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
We look for periodic solutions of planar systems obtained by adding an asymptotically positively hom...
16 pagesWe study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x...
AbstractWe look for periodic solutions of planar systems obtained by adding an asymptotically positi...
Abstract. The present paper deals with the period function of the quadratic centers. In the literatu...