Horseshoes in the standard map.
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azu_td_9234889_sip1_m.pdf
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The University of Arizona.Rights
Copyright © 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.Abstract
We 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.Type
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
MathematicsGraduate College