IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0095505.html
   My bibliography  Save this article

Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays

Author

Listed:
  • Heng Liu
  • Xingyuan Wang
  • Guozhen Tan

Abstract

This paper studied the cluster synchronization of directed complex networks with time delays. It is different from undirected networks, the coupling configuration matrix of directed networks cannot be assumed as symmetric or irreducible. In order to achieve cluster synchronization, this paper uses an adaptive controller on each node and an adaptive feedback strategy on the nodes which in-degree is zero. Numerical example is provided to show the effectiveness of main theory. This method is also effective when the number of clusters is unknown. Thus, it can be used in the community recognizing of directed complex networks.

Suggested Citation

  • Heng Liu & Xingyuan Wang & Guozhen Tan, 2014. "Adaptive Cluster Synchronization of Directed Complex Networks with Time Delays," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-8, April.
    • Handle: RePEc:plo:pone00:0095505
    DOI: 10.1371/journal.pone.0095505
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0095505
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0095505&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0095505?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. 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.
    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. Ma, Mihua & Zhou, Jin & Cai, Jianping, 2014. "Impulsive practical tracking synchronization of networked uncertain Lagrangian systems without and with time-delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 116-132.
    2. Zhang, Xinhong & Li, Wenxue & Wang, Ke, 2015. "The existence and global exponential stability of periodic solution for a neutral coupled system on networks with delays," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 208-217.
    3. Chen, Hao & Sun, Jitao, 2012. "Stability analysis for coupled systems with time delay on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 528-534.
    4. Martínez-Guerra, Rafael & Mata-Machuca, Juan L., 2014. "Generalized synchronization via the differential primitive element," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 848-857.
    5. Barajas-Ramírez, Juan Gonzalo & Ruiz-Silva, Adriana & Anzo-Hernández, Andrés, 2021. "Pinning generalized synchronization of dynamical networks via coordinate transformations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1164-1175.
    6. Chai, Yi & Chen, Liping & Wu, Ranchao & Sun, Jian, 2012. "Adaptive pinning synchronization in fractional-order complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5746-5758.
    7. Jing-Wen Yi & Yan-Wu Wang & Jiang-Wen Xiao & Yuehua Huang, 2016. "Synchronisation of complex dynamical networks with additive stochastic time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1221-1229, April.
    8. Jin, Yunguo & Zhong, Shouming, 2015. "Function projective synchronization in complex networks with switching topology and stochastic effects," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 730-740.

    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:plo:pone00:0095505. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.