IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n584790.html

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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:584790
    DOI: 10.1155/2014/584790
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/584790
    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
    ---><---

    References listed on IDEAS

    as
    1. Jianbao Zhang & Zhongjun Ma & Jinde Cao, 2013. "Full Synchronization Studied by a Set of Partitions Connected Together," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, October.
    2. Jun Hu & Zidong Wang & Hongli Dong & Huijun Gao, 2013. "Recent Advances on Recursive Filtering and Sliding Mode Design for Networked Nonlinear Stochastic Systems: A Survey," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-12, December.
    3. Hu, Cheng & Jiang, Haijun, 2012. "Cluster synchronization for directed community networks via pinning partial schemes," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1368-1377.
    4. Jianbao Zhang & Zhongjun Ma & Jinde Cao, 2013. "Full Synchronization Studied by a Set of Partitions Connected Together," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Zhang, Jianbao & Liu, Zengrong & Xu, Jianhua, 2009. "Synchronization in oscillator networks with coupling balance," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 556-566.
    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. Jianbao Zhang & Wenyin Zhang & Zhongjun Ma & Jing Yu, 2014. "Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Jianbao Zhang & Zhongjun Ma & Jinde Cao, 2014. "Hub‐Induced Synchronization in Scale‐Free Networks with Cluster Structure," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Wu, Jianshe & Zhang, Long & Li, Yong & Jiao, Yang, 2016. "Partition signed social networks via clustering dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 568-582.
    4. Li-xin Yang & Wan-sheng He & Fan-di Zhang & Jin-ping Jia, 2014. "Cluster Projective Synchronization of Fractional‐Order Complex Network via Pinning Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Yonggui Kao & Hamid Reza Karimi, 2014. "Stability in Mean of Partial Variables for Coupled Stochastic Reaction‐Diffusion Systems on Networks: A Graph Approach," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    7. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2015. "Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 99-110.
    8. Dongyan Chen & Long Xu, 2014. "Optimal Kalman Filtering for a Class of State Delay Systems with Randomly Multiple Sensor Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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:wly:jnlaaa:v:2014:y:2014:i:1:n: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.

    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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.