The visualization of strange attractors in three dimensions

Simple item page
dc.contributor.authorHalsey, Tracy S.en
dc.contributor.committeechairHendricks, Scott L.en
dc.contributor.committeememberKriz, Ronald D.en
dc.contributor.committeememberCramer, Mark S.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:51:59Zen
dc.date.adate2008-12-17en
dc.date.available2014-03-14T21:51:59Zen
dc.date.issued1993-04-05en
dc.date.rdate2008-12-17en
dc.date.sdate2008-12-17en
dc.description.abstractThe 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
dc.description.degreeMaster of Scienceen
dc.format.extentxi, 119 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-12172008-063458en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12172008-063458/en
dc.identifier.urihttp://hdl.handle.net/10919/46299en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1993.H357.pdfen
dc.relation.isformatofOCLC# 28553163en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1993.H357en
dc.subject.lcshDynamicsen
dc.subject.lcshVisualizationen
dc.titleThe visualization of strange attractors in three dimensionsen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LD5655.V855_1993.H357.pdf
Size:
311.39 MB
Format:
Adobe Portable Document Format
Download

Collections

Masters Theses