Relatório de pesquisa 04/08
Branching of Periodic Orbits in Reversible Hamiltonian Systems, Claudio A. Bruzzi, Luci Any Roberto and Marco A. Teixeira, submitted March 2008.
This paper deals with the dynamics of time-reversible
Hamiltonian vector fields with 2 and 3 degrees of freedom
around an elliptic equilibrium point in presence of symplectic
involutions. The main results discuss the existence of one-parameter
families of reversible periodic solutions terminating at the
equilibrium. The main techniques used are Birkhoff and Belitskii normal
forms combined with the Liapunov-Schmidt reduction.
Mathematics Subject Classifications
Keywords: Hamiltonian, reversibility, equilibrium point, normal form.
of the file:
rp04-08.pdf.gz (gzipped PDF)
March 11, 2008
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