%0 Journal Article
%T Resonant tori of arbitrary codimension for quasi-periodically forced systems
%A Livia Corsi
%A Guido Gentile
%J Mathematics
%D 2014
%I arXiv
%X We consider a system of rotators subject to a small quasi-periodic forcing. We require the forcing to be analytic and satisfy a time-reversibility property and we assume its frequency vector to be Bryuno. Then we prove that, without imposing any non-degeneracy condition on the forcing, there exists at least one quasi-periodic solution with the same frequency vector as the forcing. The result can be interpreted as a theorem of persistence of lower-dimensional tori of arbitrary codimension in degenerate cases.
%U http://arxiv.org/abs/1403.2872v1