IDEAS home Printed from https://ideas.repec.org/a/hin/complx/6159365.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2019/6159365.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2019/6159365.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/6159365?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lei, Lixing & Yang, Junzhong, 2021. "Patterns in coupled FitzHugh–Nagumo model on duplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Wang, Weiwei & Cao, Jinde, 2006. "Synchronization in an array of linearly coupled networks with time-varying delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 197-211.
    3. Wen, Tao & Jiang, Wen, 2019. "Identifying influential nodes based on fuzzy local dimension in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 332-342.
    4. Wang, Wei & Cai, Kaiquan & Du, Wenbo & Wu, Xin & Tong, Lu (Carol) & Zhu, Xi & Cao, Xianbin, 2020. "Analysis of the Chinese railway system as a complex network," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    5. Du, Hongyue, 2011. "Function projective synchronization in drive–response dynamical networks with non-identical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 510-514.
    6. Guan, Zhi-Hong & Zhang, Hao, 2008. "Stabilization of complex network with hybrid impulsive and switching control," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1372-1382.
    7. Li, Ping & Yi, Zhang & Zhang, Lei, 2006. "Global synchronization of a class of delayed complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 903-908.
    8. Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Partial component synchronization on chaotic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 707-714.
    9. Lu, Jianquan & Ho, Daniel W.C., 2008. "Local and global synchronization in general complex dynamical networks with delay coupling," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1497-1510.
    10. J. H. Park & S. M. Lee & H. Y. Jung, 2009. "LMI Optimization Approach to Synchronization of Stochastic Delayed Discrete-Time Complex Networks," Journal of Optimization Theory and Applications, Springer, vol. 143(2), pages 357-367, November.
    11. Wu, Jianshe & Jiao, Licheng, 2007. "Observer-based synchronization in complex dynamical networks with nonsymmetric coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 469-480.
    12. Wang, Yiqiao & Lu, Qiaoyi & Cao, Xianbin & Zhou, Xuesong & Latora, Vito & Tong, Lu Carol & Du, Wenbo, 2020. "Travel time analysis in the Chinese coupled aviation and high-speed rail network," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    13. Hu, Yue & Dai, Liang & Fuellhart, Kurt & Witlox, Frank, 2024. "Examining competition among airline regarding route portfolios at domestic hubs under government regulation: The case of China's aviation market," Journal of Air Transport Management, Elsevier, vol. 116(C).
    14. Sun, Yonghui & Cao, Jinde, 2007. "Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 253-265.
    15. Wu, Jianshe & Jiao, Licheng, 2008. "Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2111-2119.
    16. Zhang, Chuan & Wang, Xingyuan & Luo, Chao & Li, Junqiu & Wang, Chunpeng, 2018. "Robust outer synchronization between two nonlinear complex networks with parametric disturbances and mixed time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 251-264.
    17. Liu, Hui & Chen, Juan & Lu, Jun-an & Cao, Ming, 2010. "Generalized synchronization in complex dynamical networks via adaptive couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1759-1770.
    18. Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2007. "Global synchronization in general complex delayed dynamical networks and its applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 729-742.
    19. Ruiz-Silva, Adriana & Barajas-Ramírez, Juan Gonzalo, 2018. "Cluster synchronization in networks of structured communities," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 169-177.
    20. Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Clustering component synchronization in a class of unconnected networks via pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 394-401.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:complx:6159365. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.