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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 13: Opinion Formation, Segregation, and Language Dynamics
SOE 13.2: Talk
Wednesday, March 18, 2015, 15:15–15:30, MA 001
Flow-networks methods: applications to opinion dynamics — •Liubov Tupikina and Jürgen Kurths — Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany
Networks were successfully applied to describe complex systems, such as, brain, climate, processes in society. Recently a socio-physical problem of opinion-dynamics was studied using network techniques. We present the toy-model of opinion-formation based on the physical model of advection-diffusion. We assume that the opinion of each person (state of the node in network) in society is binary, i.e. can be only 0 or 1. Opinion can be spread from one person to another if they know each other, or in the network-terminology, if they are connected. The assumptions for the model can be formulated as the following: -the node-states are influenced by the network structure in such a way, that opinion can be spread only between adjacent nodes (the advective term of the opinion-dynamics), -the network structure can have two scenarios: network topology is not changing with time; additional links can appear or disappear with fixed probability (elements of the adaptive networks theory). Considering these assumptions for our opinion spreading model and applying them to the advection-diffusion system we obtain the description of our model as the system. We investigate the behaviour of the suggested model. We study the "waiting time" of the system to get to the stable state and the stability of the model regimes for different extreme values of the model parameters.