IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v630y2023ics0378437123008439.html
   My bibliography  Save this article

Non-Markovian node fragility in cascading failures on random networks

Author

Listed:
  • Zhu, Yanpeng
  • Chen, Lei
  • Jia, Chun-Xiao
  • Meng, Fanyuan
  • Liu, Run-Ran

Abstract

The memory effect of node fragility plays an important role in determining the cascading dynamics of complex systems. This paper focuses on the impact of non-Markovian characteristics of cascading dynamics on system robustness, where the fragility of each node evolves with the increase of failed neighbors and governs the failure probability of the node. The research reveals that the rate of change in node fragility not only impacts the critical point of the system’s phase transition but also influences the manner in which the system collapses. Notably, the collapse patterns of the system can exhibit first-order, second-order, or double-phase transitions. Additionally, the initial fragility of nodes has a great impact on the occurrence of cascading failures. Specifically, when the initial fragility of nodes exceeds the inverse of the mean degree, the network experiences an abrupt collapse even with the removal of an infinitesimally small fraction of nodes, regardless of memory effects. The findings provide profound insights into the intricate interplay between dependent relationships and memory effects during cascading failure processes. Furthermore, it offers a deep understanding for effectively assessing the vulnerability of complex systems and devising strategies to mitigate cascading failures.

Suggested Citation

  • Zhu, Yanpeng & Chen, Lei & Jia, Chun-Xiao & Meng, Fanyuan & Liu, Run-Ran, 2023. "Non-Markovian node fragility in cascading failures on random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    • Handle: RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123008439
    DOI: 10.1016/j.physa.2023.129288
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123008439
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2023.129288?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. Mura, A. & Taqqu, M.S. & Mainardi, F., 2008. "Non-Markovian diffusion equations and processes: Analysis and simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5033-5064.
    3. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    4. Mi Feng & Shi-Min Cai & Ming Tang & Ying-Cheng Lai, 2019. "Equivalence and its invalidation between non-Markovian and Markovian spreading dynamics on complex networks," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    5. Benjamin Schäfer & Dirk Witthaut & Marc Timme & Vito Latora, 2018. "Dynamically induced cascading failures in power grids," Nature Communications, Nature, vol. 9(1), pages 1-13, December.
    6. Antonio Candelieri & Bruno G. Galuzzi & Ilaria Giordani & Francesco Archetti, 2019. "Vulnerability of public transportation networks against directed attacks and cascading failures," Public Transport, Springer, vol. 11(1), pages 27-49, June.
    7. Benjamin Schäfer & Dirk Witthaut & Marc Timme & Vito Latora, 2018. "Author Correction: Dynamically induced cascading failures in power grids," Nature Communications, Nature, vol. 9(1), pages 1-1, December.
    8. Yi, Chengqi & Bao, Yuanyuan & Jiang, Jingchi & Xue, Yibo, 2015. "Modeling cascading failures with the crisis of trust in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 256-271.
    9. Xu Li & Bin Lv & Binke Lang & Qixiang Chen, 2022. "Exploring the Cascading Failure in Taxi Transportation Networks," Sustainability, MDPI, vol. 14(20), pages 1-14, October.
    Full references (including those not matched with items on IDEAS)

    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. Brunner, L.G. & Peer, R.A.M. & Zorn, C. & Paulik, R. & Logan, T.M., 2024. "Understanding cascading risks through real-world interdependent urban infrastructure," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    2. Hao Wu & Xiangyi Meng & Michael M. Danziger & Sean P. Cornelius & Hui Tian & Albert-László Barabási, 2022. "Fragmentation of outage clusters during the recovery of power distribution grids," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    3. Pei, Jianxin & Liu, Ying & Wang, Wei & Gong, Jie, 2021. "Cascading failures in multiplex network under flow redistribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    4. Qu, Junyi & Liu, Ying & Tang, Ming & Guan, Shuguang, 2022. "Identification of the most influential stocks in financial networks," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    5. Zhang, Kaimin & Bai, Libiao & Xie, Xiaoyan & Wang, Chenshuo, 2023. "Modeling of risk cascading propagation in project portfolio network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    6. Frasca, Mattia & Gambuzza, Lucia Valentina, 2021. "Control of cascading failures in dynamical models of power grids," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    7. Duc Thi Luu, 2022. "Portfolio Correlations in the Bank-Firm Credit Market of Japan," Computational Economics, Springer;Society for Computational Economics, vol. 60(2), pages 529-569, August.
    8. Benjamin Schäfer & Thiemo Pesch & Debsankha Manik & Julian Gollenstede & Guosong Lin & Hans-Peter Beck & Dirk Witthaut & Marc Timme, 2022. "Understanding Braess’ Paradox in power grids," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    9. Gharebaghi, Sina & Chaudhuri, Nilanjan Ray & He, Ting & La Porta, Thomas, 2023. "An approach for fast cascading failure simulation in dynamic models of power systems," Applied Energy, Elsevier, vol. 332(C).
    10. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Liu, Dan & Gao, Li, 2018. "Multigames with voluntary participation on interdependent networks and the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 151-157.
    11. Xiao, Feng & Li, Jin & Wei, Bo, 2022. "Cascading failure analysis and critical node identification in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    12. Sagnik Basumallik & Sara Eftekharnejad & Makan Fardad, 2022. "Controlled Islanding under Complete and Partial False Data Injection Attack Uncertainties against Phasor Measurement Units," Energies, MDPI, vol. 15(15), pages 1-27, August.
    13. Dong, Gaogao & Tian, Lixin & Du, Ruijin & Fu, Min & Stanley, H. Eugene, 2014. "Analysis of percolation behaviors of clustered networks with partial support–dependence relations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 370-378.
    14. Dror Kenett & Shlomo Havlin, 2015. "Network science: a useful tool in economics and finance," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 14(2), pages 155-167, November.
    15. Tong, Chao & He, Wenbo & Niu, Jianwei & Xie, Zhongyu, 2016. "A novel information cascade model in online social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 297-310.
    16. 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).
    17. Wang, Shuliang & Guo, Zhaoyang & Huang, Xiaodi & Zhang, Jianhua, 2024. "A three-stage model of quantifying and analyzing power network resilience based on network theory," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    18. Irena Vodenska & Alexander P. Becker & Di Zhou & Dror Y. Kenett & H. Eugene Stanley & Shlomo Havlin, 2016. "Community Analysis of Global Financial Markets," Risks, MDPI, vol. 4(2), pages 1-15, May.
    19. Sabarathinam Srinivasan & Suresh Kumarasamy & Zacharias E. Andreadakis & Pedro G. Lind, 2023. "Artificial Intelligence and Mathematical Models of Power Grids Driven by Renewable Energy Sources: A Survey," Energies, MDPI, vol. 16(14), pages 1-56, July.
    20. He, Fang & Chen, Xi, 2016. "Credit networks and systemic risk of Chinese local financing platforms: Too central or too big to fail?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 158-170.

    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:phsmap:v:630:y:2023:i:c:s0378437123008439. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.