Phase portrait of Hamiltonian systems with homogeneous nonlinearities
Tipo de documentoArtículo
Fecha de publicación1999
Condiciones de accesoAcceso abierto
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.