Effect of Resonance in the Effective Control Model Based on the Spread of Influence on Directed Weighted Signed Graphs

  • Alexander Tselykh
  • Vladislav Vasilev
  • Larisa TselykhEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1156)


This article proposes a method of selecting the damping factor (DF) based on finding the boundaries of the range of the domain of the DF for a model of effective controls, reflecting the spread of influence on the directed weighted signed graphs. The graph model is a fuzzy cognitive map (FCM). Two ranges of the subset values of the domain of the DF are proposed: (i) the admissible range, within which the co-directionality of the response and impact vectors is guaranteed to prevail, and (ii) the resonance range, within which there is a rapid rearrangement and reversal of the ranks of the vertices. An interpretation of the resonance surge for this model of the spread of influence is proposed.


Effective controls Damping factor Influence Directed weighted signed graphs Fuzzy cognitive map 



This work was supported by the Russian Foundation for Basic Research [grant number № 19-01-00109].


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.SFEDUTaganrogRussia
  2. 2.RSUETaganrogRussia

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