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Topology identification of weighted complex dynamical networks

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  • Zhou, Jin
  • Lu, Jun-an

Abstract

Recently, various papers investigated the geometry features, synchronization and control of complex network provided with certain topology. While, the exact topology of a network is sometimes unknown or uncertain. Using Lyapunov theory, we propose an adaptive feedback controlling method to identify the exact topology of a rather general weighted complex dynamical network model. By receiving the network nodes evolution, the topology of such kind of network with identical or different nodes, or even with switching topology can be monitored. Experiments show that the methods presented in this paper are of high accuracy with good performance.

Suggested Citation

  • Zhou, Jin & Lu, Jun-an, 2007. "Topology identification of weighted complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 481-491.
    • Handle: RePEc:eee:phsmap:v:386:y:2007:i:1:p:481-491
    DOI: 10.1016/j.physa.2007.07.050
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    References listed on IDEAS

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    Cited by:

    1. Kuroda, Kaori & Ashizawa, Tohru & Ikeguchi, Tohru, 2011. "Estimation of network structures only from spike sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 4002-4011.
    2. Zheng, Yi & Wu, Xiaoqun & Fan, Ziye & Wang, Wei, 2022. "Identifying topology and system parameters of fractional-order complex dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 414(C).
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    5. Tang, Hongwu & Chen, Liang & Lu, Jun-an & Tse, Chi K., 2008. "Adaptive synchronization between two complex networks with nonidentical topological structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5623-5630.
    6. Zhao, Xueyi & Ning, Di & Deng, Lebin, 2022. "Parameter and topology identification of delayed hypernetworks with stochastic perturbation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    7. Yan, Jiaye & Zhou, Jiaying & Wu, Zhaoyan, 2019. "Structure identification of unknown complex-variable dynamical networks with complex coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 256-265.
    8. Yong Pei & Churong Chen & Dechang Pi, 2022. "Topology Identification of Time-Scales Complex Networks," Mathematics, MDPI, vol. 10(10), pages 1-14, May.
    9. He, Tao & Lu, Xiliang & Wu, Xiaoqun & Lu, Jun-an & Zheng, Wei Xing, 2013. "Optimization-based structure identification of dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 1038-1049.
    10. Wu, Xiaoqun, 2008. "Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 997-1008.

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