New Model of Flaming Phenomena in On-Line Social Networks Caused by Degenerated Oscillation Modes
New Model of Flaming Phenomena in On-Line Social Networks Caused by Degenerated Oscillation Modes
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DOI：
10.1587/transcom.2018ebt0002
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发表时间：
2019-08
期刊：
影响因子：
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通讯作者：
Takahiro Kubo;C. Takano;Masaki Aida
中科院分区：
文献类型：
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作者：
Takahiro Kubo;C. Takano;Masaki Aida
在线社交网络中存在的以燃烧现象为代表的爆炸性动态，不仅会对信息网络的可持续运行产生严重影响，而且会对现实世界的活动产生严重影响。为了对抗燃烧现象，有必要在工程框架内了解燃烧现象产生的机制。本文讨论了燃烧现象产生机理的新模型。我们以前的研究表明，燃烧现象的原因可以通过参考网络上的振荡模型来理解为描述振荡现象而形成的矩阵的复特征值。本文证明了在所有特征值都是实数的情况下，由于简并振荡模之间的耦合，也会发生燃烧现象。此外，我们研究了燃烧现象的产生过程相对于退化振荡模式的初始阶段。关键词：拉普拉斯矩阵，有向图，火焰，乔丹标准形式
The explosive dynamics present in on-line social networks, typically represented by flaming phenomena, can have a serious impact on not only the sustainable operation of information networks but also on activities in the real world. In order to counter the flaming phenomenon, it is necessary to understand the mechanism underlying the generation of the flaming phenomena within an engineering framework. This paper discusses a new model of the generating mechanism of the flaming phenomena. Our previous study has shown that the cause of flaming phenomena can, by reference to an oscillation model on networks, be understood complex eigenvalues of the matrix formed to describe oscillating phenomena. In this paper, we show that the flaming phenomena can occur due to coupling between degenerated oscillation modes even if all the eigenvalues are real numbers. In addition, we investigate the generation process of flaming phenomena with respect to the initial phases of the degenerated oscillation modes. key words: Laplacian matrix, directed graph, flaming, Jordan canonical form