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Emergence of bimodality in controlling complex networks

Author

Listed:
  • Tao Jia

    (Center for Complex Network Research, Northeastern University)

  • Yang-Yu Liu

    (Center for Complex Network Research, Northeastern University
    Center for Cancer Systems Biology, Dana-Farber Cancer Institute)

  • Endre Csóka

    (Eötvös Loránd University)

  • Márton Pósfai

    (Center for Complex Network Research, Northeastern University
    Budapest University of Technology and Economics
    Eötvös Loránd University)

  • Jean-Jacques Slotine

    (Nonlinear Systems Laboratory, Massachusetts Institute of Technology
    Massachusetts Institute of Technology)

  • Albert-László Barabási

    (Center for Complex Network Research, Northeastern University
    Center for Cancer Systems Biology, Dana-Farber Cancer Institute
    Brigham and Women’s Hospital, Harvard Medical School
    Center for Network Science, Central European University)

Abstract

Our ability to control complex systems is a fundamental challenge of contemporary science. Recently introduced tools to identify the driver nodes, nodes through which we can achieve full control, predict the existence of multiple control configurations, prompting us to classify each node in a network based on their role in control. Accordingly a node is critical, intermittent or redundant if it acts as a driver node in all, some or none of the control configurations. Here we develop an analytical framework to identify the category of each node, leading to the discovery of two distinct control modes in complex systems: centralized versus distributed control. We predict the control mode for an arbitrary network and show that one can alter it through small structural perturbations. The uncovered bimodality has implications from network security to organizational research and offers new insights into the dynamics and control of complex systems.

Suggested Citation

  • Tao Jia & Yang-Yu Liu & Endre Csóka & Márton Pósfai & Jean-Jacques Slotine & Albert-László Barabási, 2013. "Emergence of bimodality in controlling complex networks," Nature Communications, Nature, vol. 4(1), pages 1-6, October.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3002
    DOI: 10.1038/ncomms3002
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    Cited by:

    1. Yong, Nuo & Ni, Shunjiang & Shen, Shifei & Ji, Xuewei, 2020. "A study of fluctuations in subway traffic from the control properties of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    2. Aming Li & Yang-Yu Liu, 2020. "Controlling Network Dynamics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(07n08), pages 1-19, February.
    3. Meng, Tao & Duan, Gaopeng & Li, Aming & Wang, Long, 2023. "Control energy scaling for target control of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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