Normal Forms for the Hopf Bifurcations in the Lorenz System
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
textElectronic Thesis
Degree Name
B.S.Degree Level
bachelorsDegree Program
Honors CollegeMathematics