Regularity of critical invariant circles of the standard nontwist map
dc.contributor.author | Apte, A. | en_US |
dc.contributor.author | Llave, Rafael de la | en_US |
dc.contributor.author | Petrov, Nikola P. | en_US |
dc.date.accessioned | 2006-12-19T19:12:22Z | |
dc.date.available | 2006-12-19T19:12:22Z | |
dc.date.issued | 2005-05-01 | en_US |
dc.identifier.citation | Apte, A; Llave, Rafael de la; Petrov, Nikola P (2005). "Regularity of critical invariant circles of the standard nontwist map." Nonlinearity. 18(3): 1173-1187. <http://hdl.handle.net/2027.42/49075> | en_US |
dc.identifier.issn | 0951-7715 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/49075 | |
dc.description.abstract | 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. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 526678 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | Regularity of critical invariant circles of the standard nontwist map | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1109, USA | en_US |
dc.contributor.affiliationother | Department of Physics, University of Texas at Austin, 1 University Station C1500, Austin, TX 78712-0262, USA; | en_US |
dc.contributor.affiliationother | Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, Austin, TX 78712-0257, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/49075/2/non5_3_013.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/0951-7715/18/3/013 | en_US |
dc.identifier.source | Nonlinearity. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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