Persistent Link:
http://hdl.handle.net/10150/146218
Title:
Normal Forms for the Hopf Bifurcations in the Lorenz System
Author:
Truman, Jeffrey Victor
Issue Date:
May-2010
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
In this essay we compute the the twist number for the Hopf bifurcations in the Lorenz equation. This number is the ratio of the real and the imaginary part of the first coefficient of the normal form. Our purpose is to investigate the possibility of rank chaos for periodically kicked Lorenz system.
Type:
text; Electronic Thesis
Degree Name:
B.S.
Degree Level:
bachelors
Degree Program:
Honors College; Mathematics
Degree Grantor:
University of Arizona

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleNormal Forms for the Hopf Bifurcations in the Lorenz Systemen_US
dc.creatorTruman, Jeffrey Victoren_US
dc.contributor.authorTruman, Jeffrey Victoren_US
dc.date.issued2010-05-
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIn this essay we compute the the twist number for the Hopf bifurcations in the Lorenz equation. This number is the ratio of the real and the imaginary part of the first coefficient of the normal form. Our purpose is to investigate the possibility of rank chaos for periodically kicked Lorenz system.en_US
dc.typetexten_US
dc.typeElectronic Thesisen_US
thesis.degree.nameB.S.en_US
thesis.degree.levelbachelorsen_US
thesis.degree.disciplineHonors Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
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