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dc.contributor.advisorWojtkowski, Maciej P.en_US
dc.contributor.authorCheng, Jian.
dc.creatorCheng, Jian.en_US
dc.date.accessioned2011-10-31T17:51:38Z
dc.date.available2011-10-31T17:51:38Z
dc.date.issued1992en_US
dc.identifier.urihttp://hdl.handle.net/10150/185893
dc.description.abstractWe construct the horseshoes for the standard map and show that the Hausdorff dimension of the horseshoes increases to 2 as the parameter goes to infinity. We also show that the Aubry-Mather set of the standard map is a subset of the horseshoes.
dc.language.isoenen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.subjectDissertations, Academic.en_US
dc.subjectPhysics.en_US
dc.subjectMathematics.en_US
dc.titleHorseshoes in the standard map.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.identifier.oclc712789500en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.leveldoctoralen_US
dc.contributor.committeememberRychlik, Mareken_US
dc.contributor.committeememberYoung, Lai-Sangen_US
dc.identifier.proquest9234889en_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.namePh.D.en_US
refterms.dateFOA2018-08-23T07:33:14Z
html.description.abstractWe construct the horseshoes for the standard map and show that the Hausdorff dimension of the horseshoes increases to 2 as the parameter goes to infinity. We also show that the Aubry-Mather set of the standard map is a subset of the horseshoes.


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