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Synchronization analysis of complex networks with multi-weights and its application in public traffic network

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  • An, Xin-lei
  • Zhang, Li
  • Li, Yin-zhen
  • Zhang, Jian-gang

Abstract

On the basis of traditional weighted network, we study a new complex network model with multi-weights, which has one or several different types of weights between any two nodes. According to the method of network split, we split the complex network with multi-weights into several different complex networks with single weight, and study its global synchronization. Taking bus lines as the network nodes, a new public traffic roads network model with multi-weights is established by the proposed network model and space R modeling approach. Then based on the Lyapunov stability theory, the criteria is designed for the global synchronization of the public traffic roads networks with multi-weights. By changing the different weights and taking the Lorenz chaotic system for example, some numerical examples are given to discuss the balance of the whole public traffic roads network.

Suggested Citation

  • An, Xin-lei & Zhang, Li & Li, Yin-zhen & Zhang, Jian-gang, 2014. "Synchronization analysis of complex networks with multi-weights and its application in public traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 149-156.
    • Handle: RePEc:eee:phsmap:v:412:y:2014:i:c:p:149-156
    DOI: 10.1016/j.physa.2014.06.033
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    References listed on IDEAS

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    1. 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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    Cited by:

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    2. Bin Yang & Xin Wang & Yongju Zhang & Yuhua Xu & Wuneng Zhou, 2019. "Finite-Time Synchronization and Synchronization Dynamics Analysis for Two Classes of Markovian Switching Multiweighted Complex Networks from Synchronization Control Rule Viewpoint," Complexity, Hindawi, vol. 2019, pages 1-17, March.
    3. Yu Wei & Sun Ning, 2018. "Establishment and Analysis of the Supernetwork Model for Nanjing Metro Transportation System," Complexity, Hindawi, vol. 2018, pages 1-11, December.
    4. Zhang, Qi & Luo, Chuanhai & Li, Meizhu & Deng, Yong & Mahadevan, Sankaran, 2015. "Tsallis information dimension of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 707-717.
    5. Yuhong Li & Guanghong Gong & Ni Li, 2018. "A parallel adaptive quantum genetic algorithm for the controllability of arbitrary networks," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-23, March.
    6. Zhang, Chunmei & Yang, Yinghui, 2020. "Synchronization of stochastic multi-weighted complex networks with Lévy noise based on graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    7. Zhang, Chunmei & Chen, Tianrui, 2018. "Exponential stability of stochastic complex networks with multi-weights based on graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 602-611.
    8. Zhang, Chunmei & Han, Bang-Sheng, 2020. "Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    9. Wen, Tao & Jiang, Wen, 2018. "An information dimension of weighted complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 388-399.
    10. Wei Yu & Jun Chen & Xingchen Yan, 2019. "Space‒Time Evolution Analysis of the Nanjing Metro Network Based on a Complex Network," Sustainability, MDPI, vol. 11(2), pages 1-17, January.
    11. Bin Yang & Xin Wang & Jian-an Fang & Yuhua Xu, 2019. "The Impact of Coupling Function on Finite-Time Synchronization Dynamics of Multi-Weighted Complex Networks with Switching Topology," Complexity, Hindawi, vol. 2019, pages 1-15, March.
    12. Ren, Yue & Jiang, Haijun & Hu, Cheng & Li, Xinman & Qin, Xuejiao, 2023. "Discontinuous control for exponential synchronization of complex-valued stochastic multi-layer networks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    13. Shi, Jinyao & Zhou, Peipei & Cai, Shuiming & Jia, Qiang, 2023. "Exponential synchronization for multi-weighted dynamic networks via finite-level quantized control with adaptive scaling gain," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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