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After completing the course, the student is able to:
-translate a Complex System to a model which can be analysed.
-use mathematical tools to give (approximate) solutions of the model.
-use computer simulations to analyse the model.
-critically compare both methods.
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The textbook we will use is "Introduction to the modelling and analysis of Complex Systems", by H. Sayama. It is online
https://textbooks.opensuny.org/introduction-to-the-modeling-and-analysis-of-complex-systems/
The topics that will be covered are:
Systems with a small number of variables
-basics of modelling.
-Dynamical systems in discrete time.
-Dynamicals systems in continuous time.
-Phase space.
-Analysing dynamical systems with mathematical and simulation methods.
Systems with many variables
-Simulations using the Python language.
-Cellular automata.
-Continuous fields.
-Complex systems on networks.
-Agent-based modelling.
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