Abstract

In this talk we deal with the dynamics of time-reversible Hamiltonian vector fields with two and three 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 are Birkhoff and Belitskii normal forms combined with the Liapunov-Schmidt reduction.

This is joint work with C. Buzzi and M. Teixeira