- 09-212 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
Dec 4, 09
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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.