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
Original language | English |
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Pages (from-to) | 555-577 |
Number of pages | 23 |
Journal | Nonlinearity |
Volume | 23 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2010 |