Pete, Megan (2022) Studying the Nature of the Hopf Bifurcation of the Lorenz-96 Model. Bachelor's Thesis, Mathematics.
|
Text
bMATH_2022_PeteMM.pdf Download (1MB) | Preview |
|
![[img]](https://fse.studenttheses.ub.rug.nl/style/images/fileicons/text.png) |
Text
toestemming.pdf Restricted to Registered users only Download (87kB) |
Abstract
In this thesis, we study theory on the Hopf bifurcation, and apply this theory to the Lorenz-96 model. We consider the system in four dimensions, and determine whether the bifurcation is supercritical or subcritical using center manifold reduction and normal form analysis. We compute the first Lyapunov coefficient to be negative, meaning that the Hopf bifurcation is supercritical, and results in a stable limit cycle.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Sterk, A.E. and Luppes, R. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 11 Mar 2022 12:43 |
| Last Modified: | 18 Mar 2022 08:25 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/26684 |
Actions (login required)
 |
View Item |