VTechWorks staff will be away for the Memorial Day holiday on Monday, May 27, and will not be replying to requests at that time. Thank you for your patience.

Show simple item record

dc.contributor.authorHalsey, Tracy S.en_US
dc.date.accessioned2014-03-14T21:51:59Z
dc.date.available2014-03-14T21:51:59Z
dc.date.issued1993-04-05en_US
dc.identifier.otheretd-12172008-063458en_US
dc.identifier.urihttp://hdl.handle.net/10919/46299
dc.description.abstract

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.

en_US
dc.format.mediumBTDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartLD5655.V855_1993.H357.pdfen_US
dc.subjectDynamicsen_US
dc.subject.lccLD5655.V855 1993.H357en_US
dc.titleThe visualization of strange attractors in three dimensionsen_US
dc.typeThesisen_US
dc.contributor.departmentEngineering Mechanicsen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineEngineering Mechanicsen_US
dc.contributor.committeechairHendricks, Scott L.en_US
dc.contributor.committeememberKriz, Ronald D.en_US
dc.contributor.committeememberCramer, Mark S.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12172008-063458/en_US
dc.date.sdate2008-12-17en_US
dc.date.rdate2008-12-17
dc.date.adate2008-12-17en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record