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Bifurcation in a reaction diffusion system


Bissett, Edward J. (1978) Bifurcation in a reaction diffusion system. Dissertation (Ph.D.), California Institute of Technology.


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.))
Subject Keywords:Applied Mathematics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mathematics
Thesis Availability:Restricted to Caltech community only
Research Advisor(s):
  • Cohen, Donald S.
Thesis Committee:
  • Unknown, Unknown
Defense Date:23 May 1978
Record Number:CaltechTHESIS:03212013-085323838
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7538
Deposited By: Dan Anguka
Deposited On:21 Mar 2013 16:06
Last Modified:03 Oct 2019 23:59

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