Evaluation of user dynamics created by weak ties among divided communities

• Kubo Takahiro

  Graduate School of Systems Design, Tokyo Metropolitan University

• Takano Chisa

  Graduate School of Information Sciences, Hiroshima City University

• Aida Masaki

  Graduate School of Systems Design, Tokyo Metropolitan University

抄録

Flaming phenomena represent the divergence in the strength of user dynamics as created by user interactions in online social networks (OSNs). Although it has been known that flaming phenomena occur when the Laplacian matrix of the OSN has non-real eigenvalues, it was recently shown that flaming phenomena may occur even if all the eigenvalues are real numbers. This effect appears only in the situation that some eigenvalues are degenerate, and a special unitary transformation is applied to the equations representing user dynamics; whether actual OSNs satisfy this condition has not been fully discussed. In this paper, we clarify that the user dynamics caused by the degeneration of eigenvalue 0 is one specific example of the above condition. We also investigate the mechanism and characteristics of flaming phenomena generated by degenerated eigenvalues. Furthermore, we demonstrate through numerical simulations that the degeneration of eigenvalues can cause divergence.

収録刊行物

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 12 (2), 157-174, 2021

  一般社団法人 電子情報通信学会

キーワード

• online social network
• wave equation
• flaming
• phase synchronization

詳細情報

• CRID: 1390569015604850944
• NII論文ID: 130008020130
• DOI: 10.1587/nolta.12.157
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/12/2/12_157/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可