Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
We consider one-dimensional systems in the presence of a quasi-periodic perturbation, in the analytical setting, and study the problem of existence of quasi-periodic solutions which are resonant with the frequency vector of the perturbation. We assume that the unperturbed system is locally integrable and anisochronous, and that the frequency vector …