Bifurcation Analysis Near a Double Eigenvalue of a Model Chemical Reaction.
Abstract
This paper analyzes the steady-state bifurcations from the trivial solution of the reaction-diffusion equations associated to a model chemical reaction, the so-called Brusselator. The present analysis concentrates on the case when the first bifurcation is from a double eigenvalue. The dependence of the bifurcation diagrams on various parameters and perturbations is analyzed. The results of Technical Summary Report No. 1844 (MRC-TSR-1844) are invoked to show that further complications in the model would not lead to new behavior.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1978
- Accession Number
- ADA060721
Entities
People
- David G. Schaeffer
- Marty Golubitsky
Organizations
- University of Wisconsin–Madison