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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 thesis
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
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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