Degenerate resonances and branching of periodic orbits

Abstract

In this paper we establish results on the existence of Lyapunov families of periodic orbits of reversible systems in ℝ6 around an equilibrium that presents a 0:1:1-resonance. The main proofs are based on a combined use of normal form theory, Lyapunov-Schmidt reduction and elements of symbolic computation. © 2007 Springer-Verlag.