Multiple bifurcations generated by mode interactions in a reaction-diffusion problen
碩士 === 國立中興大學 === 應用數學系 === 87 === We study multiple bifurcations in a system of reaction-diffusion equations defined on a unit square with Robin boundary conditions. First we investigate linear stabilities of the system at the uniform steady state solution. Then we discuss how muliple bi...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Online Access: | http://ndltd.ncl.edu.tw/handle/78423736989471529928 |
| Summary: | 碩士 === 國立中興大學 === 應用數學系 === 87 === We study multiple bifurcations in a system of reaction-diffusion equations defined on a unit square with Robin boundary conditions. First we investigate linear stabilities of the system at the uniform steady state solution. Then we discuss how muliple bifurcations can be generted by mode interactions of the system, and how these multiple bifurcations can be preserved in the associated discrete system. A continuation-unsymmetric Lanczos algorthm is described to trace discrete solution curves. Numerical experiments on the Brusselator equations are reported.
|
|---|