Citation
Bissett, Edward J. (1978) Bifurcation in a a Reaction Diffusion System. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/zvxr-9880. https://resolver.caltech.edu/CaltechTHESIS:03212013-085323838
Abstract
The bifurcation and nonlinear stability properties of the Meinhardt-Gierer model for biochemical pattern formation are studied. Analyses are carried out in parameter ranges where the linearized system about a trivial solution loses stability through one to three eigenfunctions, yielding both time independent and periodic final states. Solution branches are obtained that exhibit secondary bifurcation and imperfection sensitivity and that appear, disappear, or detach themselves from other branches.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
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| Subject Keywords: | (Applied Mathematics) |
| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Applied Mathematics |
| Thesis Availability: | Public (worldwide access) |
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| Thesis Committee: |
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| Defense Date: | 23 May 1978 |
| Record Number: | CaltechTHESIS:03212013-085323838 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:03212013-085323838 |
| DOI: | 10.7907/zvxr-9880 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 7538 |
| Collection: | CaltechTHESIS |
| Deposited By: | Dan Anguka |
| Deposited On: | 21 Mar 2013 16:06 |
| Last Modified: | 13 Nov 2024 19:25 |
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