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Wada basins of attraction in diffeomorphic maps


Abstract Dividing the plane in half leaves every border point of one region a border point of both regions. Can we divide up the plane into three or more regions such that any point on the boundary of at least one region is on the border of all the regions? In fact, it is possible to design a dynamical system for which the basins of attractions have this Wada property. In certain circumstances, both the Hénon map, a simple system, and the forced damped pendulum, a physical model, produce Wada basins.
Created Date 2013-05
Contributor Whitehurst, Ryan David (Author) / Kostelich, Eric (Thesis Director) / Jones, Donald (Committee Member) / Armbruster, Dieter (Committee Member) / Barrett, The Honors College / School of Mathematical and Statistical Sciences / Department of Chemistry and Biochemistry
Subject Henon / Fractals / Topology / Mathematics / Applied Mathematics / Force-damped Pendulums / Matlab
Series Academic Year 2012-2013
Type Text
Extent 21 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS


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