- 04-320 A. Apte, R. de la Llave, N. Petrov
- Regularity of critical circles in non-twist maps.
Oct 10, 04
(auto. generated ps),
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Abstract. We study critical invariant circles of several noble rotation
numbers at the edge of breakdown for area preserving maps of the
cylinder which violate the twist conditions.
These circles admit essentially unique parameterizations by rotational
coordinates. We present a high accuracy computation of about
$10^7$ Fourier coefficients. This allows us to compute the regularity
of the conjugating maps and show that, to the extent of the
precision, it only depends on the tail of the continued fraction