IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v93y2016icp182-186.html
   My bibliography  Save this article

Dynamics in local influence cascading models

Author

Listed:
  • Ouyang, Bo
  • Teng, Zhaosheng
  • Tang, Qiu

Abstract

We study a general class of local influence cascading failure model, in which the failure of one node is directly caused by its neighbors, and propose a method to analytically evaluate the cascading size. The proposed method drastically reduces the dimension of the state space as compared to previous works. Here we use only one state variable, the probability that an arbitrary neighbor of a random node being vulnerable, to describe the system. It is the dimension reduction that makes the subsequent stability analysis feasible. The method is applied to two widely used models, i.e., the linear threshold model and the constant local load sharing model. In the former, comparing to previous analysis, we reveal that multiple stable states of the network may simultaneously exist. In the latter, we present the cascading size theoretically as opposed to previous works.

Suggested Citation

  • Ouyang, Bo & Teng, Zhaosheng & Tang, Qiu, 2016. "Dynamics in local influence cascading models," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 182-186.
    • Handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:182-186
    DOI: 10.1016/j.chaos.2016.10.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007791630323X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2016.10.021?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Xuqing Huang & Irena Vodenska & Shlomo Havlin & H. Eugene Stanley, 2012. "Cascading Failures in Bi-partite Graphs: Model for Systemic Risk Propagation," Papers 1210.4973, arXiv.org, revised Jan 2013.
    2. Wang, Jianwei & Rong, Lili & Zhang, Liang & Zhang, Zhongzhi, 2008. "Attack vulnerability of scale-free networks due to cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6671-6678.
    3. R. Kinney & P. Crucitti & R. Albert & V. Latora, 2005. "Modeling cascading failures in the North American power grid," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 46(1), pages 101-107, July.
    4. Lee, D.-S. & Goh, K.-I. & Kahng, B. & Kim, D., 2004. "Sandpile avalanche dynamics on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 84-91.
    5. Zhao, Laijun & Wang, Jiajia & Chen, Yucheng & Wang, Qin & Cheng, Jingjing & Cui, Hongxin, 2012. "SIHR rumor spreading model in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2444-2453.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Batool, Attia & Pál, Gergő & Danku, Zsuzsa & Kun, Ferenc, 2022. "Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xia, Yongxiang & Wang, Cong & Shen, Hui-Liang & Song, Hainan, 2020. "Cascading failures in spatial complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    2. Ma, Xiangyu & Zhou, Huijie & Li, Zhiyi, 2021. "On the resilience of modern power systems: A complex network perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 152(C).
    3. Bo Ouyang & Lurong Jiang & Zhaosheng Teng, 2016. "A Noise-Filtering Method for Link Prediction in Complex Networks," PLOS ONE, Public Library of Science, vol. 11(1), pages 1-12, January.
    4. Hao, Yucheng & Jia, Limin & Wang, Yanhui, 2020. "Robustness of weighted networks with the harmonic closeness against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    5. Li, Zhenpeng & Tang, Xijin, 2019. "Robustness of complex networks to cascading failures induced by Poisson fluctuating loads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    6. Tianhua Li & Yanchao Du & Yongbo Yuan, 2019. "Use of Variable Fuzzy Clustering to Quantify the Vulnerability of a Power Grid to Earthquake Damage," Sustainability, MDPI, vol. 11(20), pages 1-17, October.
    7. Xia, Yongxiang & Fan, Jin & Hill, David, 2010. "Cascading failure in Watts–Strogatz small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1281-1285.
    8. Kim, Minjung & Kim, Beom Jun, 2022. "Defense strategies against cascading failures in networks: “Too-big-to-fail” and “too-small-to-fail”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    9. Ren, Hai-Peng & Song, Jihong & Yang, Rong & Baptista, Murilo S. & Grebogi, Celso, 2016. "Cascade failure analysis of power grid using new load distribution law and node removal rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 239-251.
    10. Wang, Jianwei, 2013. "Mitigation strategies on scale-free networks against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2257-2264.
    11. Zhang, Wenping & Xia, Yongxiang & Ouyang, Bo & Jiang, Lurong, 2015. "Effect of network size on robustness of interconnected networks under targeted attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 80-88.
    12. Chen, Zhichao & Zheng, Changjiang & Tao, Tongtong & Wang, Yanyan, 2024. "Reliability analysis of urban road traffic network under targeted attack strategies considering traffic congestion diffusion," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    13. Hosni, Adil Imad Eddine & Li, Kan & Ahmad, Sadique, 2020. "Analysis of the impact of online social networks addiction on the propagation of rumors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    14. Jia, Pingqi & Wang, Chao & Zhang, Gaoyu & Ma, Jianfeng, 2019. "A rumor spreading model based on two propagation channels in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 342-353.
    15. Jing Liu & Huapu Lu & Mingyu Chen & Jianyu Wang & Ying Zhang, 2020. "Macro Perspective Research on Transportation Safety: An Empirical Analysis of Network Characteristics and Vulnerability," Sustainability, MDPI, vol. 12(15), pages 1-18, August.
    16. Zan, Yongli & Wu, Jianliang & Li, Ping & Yu, Qinglin, 2014. "SICR rumor spreading model in complex networks: Counterattack and self-resistance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 159-170.
    17. Lahtinen, Jani & Kertész, János & Kaski, Kimmo, 2005. "Sandpiles on Watts–Strogatz type small-worlds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 535-547.
    18. Jianhong Chen & Hongcai Ma & Shan Yang, 2023. "SEIOR Rumor Propagation Model Considering Hesitating Mechanism and Different Rumor-Refuting Ways in Complex Networks," Mathematics, MDPI, vol. 11(2), pages 1-22, January.
    19. Peter Bou Saba & Régis Meissonier, 2016. "Conflict contagion effects from previous IT projects: action research during preliminary phases of a DST implementation project [Effets de contagion de conflits de projets TI antérieurs:Une recherc," Post-Print hal-02161336, HAL.
    20. Marc van Kralingen & Diego Garlaschelli & Karolina Scholtus & Iman van Lelyveld, 2020. "Crowded trades, market clustering, and price instability," Papers 2002.03319, arXiv.org.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:182-186. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.