Heinz Hanßmann, Jianguo Si
Quasi-periodic solutions and stability of the equilibrium for quasi-periodically forced planar reversible and Hamiltonian systems under the Bruno condition
(478K, PostScript)

ABSTRACT.  In this paper we investigate the existence of
quasi-periodic solutions of non-autonomous two-dimensional
reversible and Hamiltonian systems under the Bruno condition.
As an application we study the dynamical stability of the
trivial solution at the origin of a quasi-periodically forced
planar system. Under a mild non-degeneracy condition we give
a criterion that is necessary and sufficient for a large
class of systems.