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