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arXiv · 1003.0656

Branching of periodic orbits in reversible hamiltonian systems

Claudio Buzzi·Luci Any Roberto·Marco Antonio Teixeira
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Abstract

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.

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Claudio Buzzi, Luci Any Roberto, Marco Antonio Teixeira. 2010-03-02. Branching of periodic orbits in reversible hamiltonian systems. https://arxiv.org/abs/1003.0656

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