Persistence of lower dimensional invariant tori on sub-manifolds...
where (x, y, u) lies in a complex neighborhood D(r, s) = {(x, y, u) : |Imx| ≤ r, |y| ≤ s, |u| ≤ s} of T n ×{0} ×{0} ⊂ T n ×R n ×R 2m ,λ is a parameter lying in a bounded closed region Λ ⊂ R n 0 and M(λ) is nonsingular on Λ. In...