Branching of periodic orbits in reversible hamiltonian systems

Details Branching of periodic orbits in reversible hamiltonian systems Branching of periodic orbits in reversible hamiltonian systems

2010-03-02

arxiv.org/abs/1003.0656v1

Mathematics

Dynamical Systems

22 pages

Scientific paper

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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