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Title:Dynamics of Symplectic Piecewise Affine Elliptic Rotation Maps on Tori
Author(s):Kahng, Byungik
Doctoral Committee Chair(s):Palmore, Julian
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We investigate the iterative dynamics of symplectic piecewise-affine elliptic rotation maps associated with matrices with non-integer entries, 0-11a , where -2 < a < 2. We explain how their singularity and periodicity structures develop in general. In a special case, a = +/- 2 , we completely determine the orbit structure and the singularity structure, and answer conjectures by Tresser, Adler and Kitchens. We also report an example of a period tripling cascade that arises from this system.
Issue Date:2000
Type:Text
Language:English
Description:62 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.
URI:http://hdl.handle.net/2142/87003
Other Identifier(s):(MiAaPQ)AAI9990033
Date Available in IDEALS:2015-09-28
Date Deposited:2000


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