- 95-441 Stathis Tompaidis
- Numerical study of invariant sets of a volume-preserving map.
Oct 2, 95
(auto. generated ps),
of related papers
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.