Branching of periodic orbits in reversible hamiltonian systems
Dynamical Systems
2014-09-04 v1
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.
Keywords
Cite
@article{arxiv.1003.0656,
title = {Branching of periodic orbits in reversible hamiltonian systems},
author = {Claudio Buzzi and Luci Any Roberto and Marco Antonio Teixeira},
journal= {arXiv preprint arXiv:1003.0656},
year = {2014}
}
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22 pages