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Fractional decision making models in networks
Malárik, Peter ; Nechvátal, Luděk (oponent) ; Kisela, Tomáš (vedoucí práce)
This thesis deals with the problem of modelling specific types of complex systems using networks, especially those that indicate the possible occurrence of so-called fractional dynamics. Two variants of the Voter Model, which is one of the basic decision models describing the propagation of opinions in a social setting, are presented. By enriching the dynamics of the model with history dependence and by setting the system over different kinds of networks, we observe qualitative changes in behavior that are typical in the presence of the aforementioned fractional dynamics. We look at this issue from the point of view of numerous model simulations, which results are graphically presented, discussed and compared with known theory.

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