Invariant tori in quasi-periodic non-autonomous dynamical systems via Herman's method
Invariant tori in quasi-periodic non-autonomous dynamical systems via Herman's method
We consider quasi-periodic (with $N$ basic frequencies) non-autonomousperturbations of Hamiltonian, reversible, volume preserving, and dissipativesystems. The unperturbed systems possess analytic families of invariant$n$-tori carrying conditionally periodic motions, are allowed to depend onexternal parameters, and are assumed to satisfy just very weak nondegeneracyconditions. We construct invariant $(n+N)$-tori in perturbed systems followingM.R. …