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Spontaneous pattern formation in Turing systems

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dc.contributor Bulashenko, Oleg
dc.creator Vila Vidal, Manel
dc.date 2015-10-20T10:28:13Z
dc.date 2015-10-20T10:28:13Z
dc.date 2015-01
dc.date.accessioned 2024-12-16T10:21:14Z
dc.date.available 2024-12-16T10:21:14Z
dc.identifier http://hdl.handle.net/2445/67344
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/12344
dc.description Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Any: 2015, Tutor: Oleg Bulashenko
dc.description 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.
dc.format 5 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Vila Vidal, 2015
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Física
dc.subject Models no lineals (Estadística)
dc.subject Física matemàtica
dc.subject Treballs de fi de grau
dc.subject Nonlinear models (Statistics)
dc.subject Mathematical physics
dc.subject Bachelor's theses
dc.subject Turing, Alan Mathison, 1912-1954
dc.title Spontaneous pattern formation in Turing systems
dc.type info:eu-repo/semantics/bachelorThesis


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