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http://hdl.handle.net/2445/67344| Title: | Spontaneous pattern formation in Turing systems |
| Author: | Vila Vidal, Manel |
| Director/Tutor: | Bulashenko, Oleg |
| Keywords: | Models no lineals (Estadística) Física matemàtica Treballs de fi de grau Nonlinear models (Statistics) Mathematical physics Bachelor's theses Turing, Alan Mathison, 1912-1954 |
| Issue Date: | Jan-2015 |
| Abstract: | We give a general description of pattern forming systems and describe the linear stability analysis that allows to determine whether a system in a uniform state will spontaneously evolve to a patterned state. Such an analysis is performed on Turing systems and conditions for pattern formation are derived. As an example of a Turing system, we consider the Brusselator model, for which a variety of patterns are found numerically for different values of the bifurcation parameters. |
| Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2015, Tutor: Oleg Bulashenko |
| URI: | http://hdl.handle.net/2445/67344 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| TFG-Vila-Vidal-Manel.pdf | 2.78 MB | Adobe PDF | View/Open |
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