Investigation into the Regular and Chaotic States of Microblogging Networks as Applied to Social Media Monitoring

Abstract

The present paper is devoted to the investigation into the evolutionary dynamics of social microblogging networks. Different network states are considered. Regular and chaotic states of networks are described. A new model of a social microblogging network as a point dissipative system is suggested. Dynamic variables of such system are represented by the variations of tweet/retweet number around the equilibrium values. It is pointed out, that the system is in a condition of an asymptotically stable equilibrium when the intensity values of an external information are small (the number of tweets eventually tends to its equilibrium value). So far as the intensity values of external information do not exceed the critical value, the stable (almost harmonic) oscillations of tweets take place in the system. If the intensity values of external information exceed the critical value, then the chaotic oscillations of tweets are to be observed. A case of Twitter network is examined.