IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v525y2019icp394-401.html
   My bibliography  Save this article

Clustering component synchronization in a class of unconnected networks via pinning control

Author

Listed:
  • Li, Fengbing
  • Ma, Zhongjun
  • Duan, Qichang

Abstract

Firstly, the definition of clustering component synchronization is given (that is, all nodes in each cluster realize partial component synchronization). Then, both stability theory and matrix analysis are used to study the group dynamics of a class of unconnected networks via pinning control. Furthermore, a sufficient condition on clustering component synchronization in the network is derived, and the correctness of the theoretical results is verified by numerical simulation. The advantage of the control scheme is that, by adjusting the dynamics of a very small number of pinning nodes, some clusters can be merged in the network, and then the presetting synchronous patterns can emerge. Compared with cluster synchronization and partial component synchronization, clustering component synchronization is a weaker group dynamics behavior.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:394-401
    DOI: 10.1016/j.physa.2019.03.080
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119303152
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.03.080?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

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

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jie Liu & Jian-Ping Sun, 2024. "Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    2. Shen, Yafei & Shi, Jinyao & Cai, Shuiming, 2020. "Pinning synchronization of weighted bipartite networks with time-varying delays via aperiodic intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Fei Wang & Zhaowen Zheng & Yongqing Yang, 2019. "Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method," Complexity, Hindawi, vol. 2019, pages 1-17, December.
    6. 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.
    7. Jie Liu & Jian-Ping Sun, 2024. "Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    8. Cai, Chaohong & Chen, Guanrong, 2006. "Synchronization of complex dynamical networks by the incremental ISS approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 754-766.
    9. Lei, Lixing & Yang, Junzhong, 2021. "Patterns in coupled FitzHugh–Nagumo model on duplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    10. 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.
    11. Hu, Wenjun & Zhang, Wen & Ma, Zhongjun & Li, Kezan, 2022. "Partial component consensus analysis of second-order and third-order nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    12. 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.
    13. 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.
    14. Liu, Xiwei & Chen, Tianping, 2007. "Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 82-92.
    15. Liu, Tao & Dimirovski, Georgi M. & Zhao, Jun, 2008. "Exponential synchronization of complex delayed dynamical networks with general topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 643-652.
    16. Zhang, Hai & Ye, Miaolin & Ye, Renyu & Cao, Jinde, 2018. "Synchronization stability of Riemann–Liouville fractional delay-coupled complex neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 155-165.
    17. Zhang, Zhicheng & Ma, Zhongjun & Wang, Yi, 2019. "Partial component consensus of leader-following multi-agent systems via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    18. Yang, Li-xin & Jiang, Jun, 2018. "Synchronization analysis of fractional order drive-response networks with in-commensurate orders," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 47-52.
    19. Ye, Sufen & Zhang, Luoping & Feng, Huan, 2020. "Ecosystem intrinsic value and its evaluation," Ecological Modelling, Elsevier, vol. 430(C).
    20. 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.

    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:eee:phsmap:v:525:y:2019:i:c:p:394-401. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.