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Weakly nonlinear stability analyses of Turing pattern formation in the chlorite-iodide-malonic acid/starch reaction-diffusion model system

Posted on:1997-05-15Degree:Ph.DType:Dissertation
University:Washington State UniversityCandidate:Stephenson, Laura ElizabethFull Text:PDF
GTID:1460390014980197Subject:Mathematics
Abstract/Summary:
The development of one-dimensional and two-dimensional Turing patterns characteristic of the chlorite-iodide-malonic acid/starch reaction-diffusion model system is investigated by means of weakly nonlinear stability analyses applied to the appropriately scaled governing equations. The theoretical predictions deduced from these pattern formation studies are compared with experimental evidence relevant to the Turing diffusive instabilities under examination in order to explain more fully the transition to such stationary symmetry-breaking spatial structures when temperature or pool species concentrations are varied.
Keywords/Search Tags:Chlorite-iodide-malonic acid/starch reaction-diffusion model system, Weakly nonlinear stability analyses, Turing, Pattern formation
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