- 03-212 Alberto Berretti and Guido Gentile
- Scaling of the Critical Function for the Standard Map:
Some Numerical Results
May 7, 03
(auto. generated ps),
of related papers
Abstract. The behavior of the critical function for the breakdown of
the homotopically non-trivial invariant (KAM) curves for the
standard map, as the rotation number tends to a rational number,
is investigated using a version of Greene's residue criterion.
The results are compared to the analogous ones for the radius
of convergence of the Lindstedt series, in which case rigorous
theorems have been proved. The conjectured interpolation of
the critical function in terms of the Bryuno function is discussed.