Title page for ETD etd-12172008-063458
|Type of Document
||Halsey, Tracy S.
||The visualization of strange attractors in three dimensions
||Master of Science
|Hendricks, Scott L.
|Cramer, Mark S.
|Kriz, Ronald D.
|Date of Defense
The existence of strange attractors for dynamical systems with three
variables is discussed. The structure and dimensionality of these attractors
are observed with computer packages that have three dimensional viewing
capabilities. The importance of visualizing these attractors is discussed. Some
new visual tools developed for this purpose are introduced. These tools are
then used to observe strange attractors for the Lorenz, Rossler, and Silnikov
systems of equations. The solutions to the Lorenz equations are followed in
detail for certain parameter values. Figures of the attractors are included to
attempt to show the benefits of the new tools. There is an accompanying video
that contains visualizations of the strange attractors to illustrate the three
dimensional capability of the new tools. A comparison is made of current
methods used to view attractors with the new tools. It is concluded that the
three dimensional visualization of the structures is very important and
beneficial for learning about the attractors.
|| Approximate Download Time
| 28.8 Modem
|| 56K Modem
|| ISDN (64 Kb)
|| ISDN (128 Kb)
|| Higher-speed Access
next to an author's name indicates that all
files or directories associated with their ETD
are accessible from the Virginia Tech campus network only.
If you have questions or technical
problems, please Contact DLA.