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 (2000):  37C27.

Hamiltonian, reversibility, equilibrium point, normal form.

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March 11, 2008


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