Stathis Tompaidis
Numerical study of invariant sets of a volume-preserving map.
(67K, TeX)

ABSTRACT.  We study the behavior of invariant sets of a volume-preserving map,
that is a quasi-periodic perturbation of a symplectic map,
using approximation by periodic orbits. We present numerical
results for analyticity domains of invariant surfaces, behavior after
breakdown and a critical function describing breakdown of invariant surfaces
as a function of their rotation vectors. We discuss implications 
of our results to
the existence of a renormalization group operator describing breakdown
of invariant surfaces.