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Controlling of nonlinear dynamical networks based on decoupling and re-coupling method

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  • Duan, Dongli
  • Bai, Xue
  • Rong, Yisheng
  • Hou, Gege
  • Hang, Jiale

Abstract

Although a large number of studies have verified and explained the controllability of complex networks in real life and nature, there is a deficiency of accurate control strategies based on the proposed theory of network controllability. Here, we propose a new dimension reduction method, which firstly decouples the N-dimensional interdependent system into N independent systems, then re-couples them into one state space. The tool can help predict the state of individual nodes, explore the behavior pattern of different dynamic models in the network, and quantify the responses of the network states in terms of its own structure and external disturbances. The results show that for nonlinear dynamical models with biochemical dynamics, birth–death processes, regulatory dynamics and epidemic processes on Scale-Free and Erdös–Rényi networks, the activity of the target node or target node set can be accurately reached by controlling the behavior of some nodes with our framework.

Suggested Citation

  • Duan, Dongli & Bai, Xue & Rong, Yisheng & Hou, Gege & Hang, Jiale, 2022. "Controlling of nonlinear dynamical networks based on decoupling and re-coupling method," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    • Handle: RePEc:eee:chsofr:v:163:y:2022:i:c:s0960077922007226
    DOI: 10.1016/j.chaos.2022.112522
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    References listed on IDEAS

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    1. Gergely Palla & Imre Derényi & Illés Farkas & Tamás Vicsek, 2005. "Uncovering the overlapping community structure of complex networks in nature and society," Nature, Nature, vol. 435(7043), pages 814-818, June.
    2. Uzi Harush & Baruch Barzel, 2017. "Dynamic patterns of information flow in complex networks," Nature Communications, Nature, vol. 8(1), pages 1-11, December.
    3. Jianxi Gao & Baruch Barzel & Albert-László Barabási, 2016. "Erratum: Universal resilience patterns in complex networks," Nature, Nature, vol. 536(7615), pages 238-238, August.
    4. Liu, Tao & Bai, Guanghan & Tao, Junyong & Zhang, Yun-An & Fang, Yining & Xu, Bei, 2022. "Modeling and evaluation method for resilience analysis of multi-state networks," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    5. Jianxi Gao & Baruch Barzel & Albert-László Barabási, 2016. "Universal resilience patterns in complex networks," Nature, Nature, vol. 530(7590), pages 307-312, February.
    6. Jonathan E McDunn & Kareem D Husain & Ashoka D Polpitiya & Anton Burykin & Jianhua Ruan & Qing Li & William Schierding & Nan Lin & David Dixon & Weixiong Zhang & Craig M Coopersmith & W Michael Dunne , 2008. "Plasticity of the Systemic Inflammatory Response to Acute Infection during Critical Illness: Development of the Riboleukogram," PLOS ONE, Public Library of Science, vol. 3(2), pages 1-14, February.
    7. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
    8. Caldarelli, Guido, 2007. "Scale-Free Networks: Complex Webs in Nature and Technology," OUP Catalogue, Oxford University Press, number 9780199211517.
    9. Timothy S. Gardner & Charles R. Cantor & James J. Collins, 2000. "Construction of a genetic toggle switch in Escherichia coli," Nature, Nature, vol. 403(6767), pages 339-342, January.
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