Phase portrait of Hamiltonian systems with homogeneous nonlinearities

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Title:	Phase portrait of Hamiltonian systems with homogeneous nonlinearities
Author:	Gasull Embid, Armengol; Guillamon Grabolosa, Antoni; Mañosa Fernández, Víctor
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 main goal of this work is to describe the phase portarit of Hamiltonian systems with a non degenerate center at the origin and homogeneous nonlinearities of arbitrary degree n. We apply our results to the case n=2 to re-obtain the bifurcation diagram of all the quadratic Hamiltonian vector fields with a centre at the origin, as well as to the case n=3.
Subject(s):	-Bifurcation theory -Differential equations -bifurcations -Hamiltonian system -Phase portrait -period annulus -Equacions diferencials ordinàries -Classificació AMS::34 Ordinary differential equations::34C Qualitative theory -Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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