Wada basins of attraction in diffeomorphic maps
Description
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.
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2013-05
Agent
- Author (aut): Whitehurst, Ryan David
- Thesis director: Kostelich, Eric
- Committee member: Jones, Donald
- Committee member: Armbruster, Dieter
- Contributor (ctb): Barrett, The Honors College
- Contributor (ctb): School of Mathematical and Statistical Sciences
- Contributor (ctb): Department of Chemistry and Biochemistry