Degenerate Resonances and Branching of Periodic Orbits, A. Jacquemard

In this paper we establish results on the existence of Lyapunov families of periodic orbits of reversible systems in $\mathbb{R}^6$ around an equilibrium that presents a $0:1:1-$ resonance. The main proofs are based on a combined use of normal form theory, Lyapunov-Schimdt reduction and elements of symbolic computation.