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Chaos Synchronization in Time-Dependent Duplex Networks

Author

Listed:
  • Qian Liu
  • Wenchen Han
  • Lixing Lei
  • Qionglin Dai
  • Junzhong Yang

Abstract

Though the complete chaos synchronization on single-layer networks has been well understood, it is still a challenge on multiplex networks. In this work, we study the complete chaos synchronization on time-dependent duplex networks in which interaction pattern among oscillators alternates periodically between two single-layer networks. The alternations between two layers are characterized by the offset strength and the switching frequency . We find that there are two dynamical regimes depending on . For high , the critical for the stable complete synchronization is independent of and the fast-switching approximation suggests that the time-dependent duplex networks can be approximated by the time-independent duplex networks with effective coupling strength. For low , the critical depends on nonmonotonically. At extremely low , the estimation of the critical can be obtained by a single-mode approximation taking one dominant transversal network mode to complete synchronization into considerations.

Suggested Citation

  • Qian Liu & Wenchen Han & Lixing Lei & Qionglin Dai & Junzhong Yang, 2019. "Chaos Synchronization in Time-Dependent Duplex Networks," Complexity, Hindawi, vol. 2019, pages 1-8, April.
    • Handle: RePEc:hin:complx:6159365
    DOI: 10.1155/2019/6159365
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    References listed on IDEAS

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    1. Han, Wenchen & Yang, Junzhong, 2018. "Approximation methods for the stability analysis of complete synchronization on duplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 23-27.
    2. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
    3. Hong, Chen & Zhang, Jun & Cao, Xian-Bin & Du, Wen-Bo, 2016. "Structural properties of the Chinese air transportation multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 28-34.
    4. Liu, Meng & Shao, Yingying & Fu, Xinchu, 2009. "Complete synchronization on multi-layer center dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2584-2591.
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