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Remote synchronization in multi-layered community networks with star-like topology

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  • Cao, Haoyu
  • Yang, Zhiyin
  • Liu, Zonghua

Abstract

Remote synchronization (RS) is currently a hot topic in the fields of nonlinear science and complex network and has a close relationship with signal propagation in brain networks. So far, most studies of RS are focused on star graphs. However, realistic networks with RS are much more complicated than a purely star graph, such as various cognitive networks in human brain. Thus, we here present a model of multi-layered community network to extend the study of RS from star graphs to star-like community topologies, i.e. each node of star graph becoming a community. We find that RS may appear in this multi-layered network model, provided that the hub community has a stronger coupling while the leaf communities have a weaker coupling. A measure of RS is introduced to investigate the influence of key parameters such as the frequency distributions, network size, and natural frequency difference between the hub and leaf layers. Moreover, these results have been confirmed in the sub-networks from a real brain network. And a brief theoretical analysis is provided to explain the mechanism of RS in multi-layered community networks.

Suggested Citation

  • Cao, Haoyu & Yang, Zhiyin & Liu, Zonghua, 2023. "Remote synchronization in multi-layered community networks with star-like topology," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010724
    DOI: 10.1016/j.chaos.2022.112893
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    References listed on IDEAS

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    1. Pieter R. Roelfsema & Andreas K. Engel & Peter König & Wolf Singer, 1997. "Visuomotor integration is associated with zero time-lag synchronization among cortical areas," Nature, Nature, vol. 385(6612), pages 157-161, January.
    2. Eugenio Rodriguez & Nathalie George & Jean-Philippe Lachaux & Jacques Martinerie & Bernard Renault & Francisco J. Varela, 1999. "Perception's shadow: long-distance synchronization of human brain activity," Nature, Nature, vol. 397(6718), pages 430-433, February.
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    Cited by:

    1. Chen, XinYue & Li, Fan & Liu, Shuai & Zou, Wei, 2023. "Emergent behavior of conjugate-coupled Stuart–Landau oscillators in directed star networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    2. Wang, Xinyi & Zhang, Xiyun & Zheng, Muhua & Xu, Leijun & Xu, Kesheng, 2023. "Noise-induced coexisting firing patterns in hybrid-synaptic interacting networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    3. Shen, Qiwei & Liu, Zonghua, 2023. "Unidirectional links prefer local firing propagation in the neural network of C. elegans," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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