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Regularity of critical invariant circles of the standard nontwist map
dc.contributor.authorApte, A.en_US
dc.contributor.authorLlave, Rafael de laen_US
dc.contributor.authorPetrov, Nikola P.en_US
dc.date.accessioned2006-12-19T19:12:22Z
dc.date.available2006-12-19T19:12:22Z
dc.date.issued2005-05-01en_US
dc.identifier.citationApte, 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.issn0951-7715en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/49075
dc.description.abstractWe 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.extent3118 bytes
dc.format.extent526678 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherIOP Publishing Ltden_US
dc.titleRegularity of critical invariant circles of the standard nontwist mapen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1109, USAen_US
dc.contributor.affiliationotherDepartment of Physics, University of Texas at Austin, 1 University Station C1500, Austin, TX 78712-0262, USA;en_US
dc.contributor.affiliationotherDepartment of Mathematics, The University of Texas at Austin, 1 University Station C1200, Austin, TX 78712-0257, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/49075/2/non5_3_013.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1088/0951-7715/18/3/013en_US
dc.identifier.sourceNonlinearity.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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