The period function for Hamiltonian systems with homogeneous nonlinearities

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Title:	The period function for Hamiltonian systems with homogeneous nonlinearities
Author:	Gasull Embid, Armengol; Guillamon Grabolosa, Antoni; Mañosa Fernández, Víctor; Mañosas Capellades, Francesc
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	The 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.
Subject(s):	-Global analysis (Mathematics) -Hamiltonian systems -Homogeneous nonlinearities -Varietats (Matemàtica) -Classificació AMS::58 Global analysis, analysis on manifolds
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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