IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/584790.html
   My bibliography  Save this article

Partial Synchronizability Characterized by Principal Quasi-Submatrices Corresponding to Clusters

Author

Listed:
  • Gang Zhang
  • Zhongjun Ma
  • Yi Wang
  • Jianbao Zhang

Abstract

A partial synchronization problem in an oscillator network is considered. The concept on a principal quasi-submatrix corresponding to the topology of a cluster is proposed for the first time to study partial synchronization. It is shown that partial synchronization can be realized under the condition depending on the principal quasi-submatrix, but not distinctly depending on the intercluster couplings. Obviously, the dimension of any principal quasi-submatrix is usually far less than the one of the network topology matrix. Therefore, our criterion provides us a novel index of partial synchronizability, which reduces the network size when the network is composed of a great mount of nodes. Numerical simulations are carried out to confirm the validity of the method.

Suggested Citation

  • Gang Zhang & Zhongjun Ma & Yi Wang & Jianbao Zhang, 2014. "Partial Synchronizability Characterized by Principal Quasi-Submatrices Corresponding to Clusters," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnlaaa:584790
    DOI: 10.1155/2014/584790
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/584790.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/584790.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/584790?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
    ---><---

    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:jnlaaa:584790. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.