A Apte et al 2005 Nonlinearity 18 1173 doi:10.1088/0951-7715/18/3/013
A Apte1,4, Rafael de la Llave2 and Nikola P Petrov3
Show affiliationsRecommended by A Chenciner
We study critical invariant circles of several noble rotation numbers at the edge of break-up for an area-preserving map of the cylinder, which violates the twist condition.
These circles admit essentially unique parametrizations by rotational coordinates. We present a high accuracy computation of about 107 Fourier coefficients. This allows us to compute the regularity of the conjugating maps and to show that, to the extent of numerical precision, it only depends on the tail of the continued fraction expansion.
Issue 3 (May 2005)
Received 10 October 2004, in final form 20 January 2005
Published 16 February 2005
A Apte et al 2005 Nonlinearity 18 1173