Searching Turing instabilities in the Abrams-Strogatz model
Date
2019
Authors
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Journal ISSN
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Publisher
Tartu Ülikool
Abstract
The aim of this thesis is to search for Turing instabilities in Abrams-Strogatz language competition model. The theoretical part of this thesis provides an overview of complex systems, explains the nature of Turing patterns and the conditions for pattern formation, describes the aspects of language dynamics and Abrams-Strogatz model. In the practical part of the thesis, the original Abrams-Strogatz model is extended with spatial parameter and using stability analysis Turing instabilities are investigated in the spatial model.
Description
Keywords
bakalaureusetöö, complex systems, patterns, endangered languages, statistical physics, dynamic systems