Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2015, Tutor: Oleg Bulashenko
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.