Linear Transformations on Torus

Posey, Jacob (2011) Linear Transformations on Torus. [Abstract]

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Abstract

This semester I studied the dynamical system of taking a point in the real plane and sending it down to the torus, which is a 2-dimensional tube. I looked at periodic points of this mapping and showed and if and only if relation between rational points and periodic points. I then looked at the conditions for chaos of a map that creates a line with an irrational slope.

Item Type: Abstract
Created by Student or Faculty: Student
Additional Information: 6th Annual Natural & Behavioral Sciences Undergraduate Research Symposium Program
Uncontrolled Keywords: Linear Transformations, Dimension Theory (topology), Real Numbers, Torus (geometry), Mappings (mathematics), 2-dimensional tube
Subjects: School of Natural and Behavioral Sciences > Mathematics
NBS Symposium
Depositing User: Alejandro Marquez
Date Deposited: 26 Jun 2013 10:38
Last Modified: 26 Jun 2013 10:38
URI: http://eprints.fortlewis.edu/id/eprint/364


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