N Buric et al 1997 J. Phys. A: Math. Gen. 30 L161 doi:10.1088/0305-4470/30/7/003
Equivalent classes of critical circles
N Buric
,
, M Mudrinic and K Todorovic
LETTER TO THE EDITOR
We present numerical evidence that the fractal properties of the critical invariant circles of a typical area-preserving twist map, as summarized by the 
spectrum and the generalized dimensions D(q), depend only on the tails in the continued fraction expansion of the corresponding rotation numbers. and D(q) are numerically the same for all critical invariant circles of the standard and sine maps which have the rotation numbers with the same periodic tail.
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Issue 7 (7 April 1997)
Received 15 November 1996, in final form 13 December 1996
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Equivalent classes of critical circles
N Buric et al 1997 J. Phys. A: Math. Gen. 30 L161
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