IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2015y2015i1n989201.html

New Pinning Synchronization of Complex Networks with Time‐Varying Coupling Strength and Nondelayed and Delayed Coupling

Author

Listed:
  • Guoliang Wang
  • Zhongbao Yue
  • Feng Wang

Abstract

The pinning synchronization problem for a class of complex networks is studied by a stochastic viewpoint, in which both time‐varying coupling strength and nondelayed and delayed coupling are included. Different from the traditionally similar methods, its interval is separated into two subintervals and described by a Bernoulli variable. Both bounds and switching probability of such subintervals are contained. Particularly, the nondelayed and delayed couplings occur alternately in which another independent Bernoulli variable is introduced. Then, a new kind of pinning controller without time‐varying coupling strength signal is developed, in which only its bounds and probabilities are contained. When such probabilities are unavailable, two different kinds of adaption laws are established to make the complex network globally synchronous. Finally, the validity of the presented methods is proved through a numerical example.

Suggested Citation

  • Guoliang Wang & Zhongbao Yue & Feng Wang, 2015. "New Pinning Synchronization of Complex Networks with Time‐Varying Coupling Strength and Nondelayed and Delayed Coupling," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:989201
    DOI: 10.1155/2015/989201
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2015/989201
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/989201?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. 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.
    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. Wang, Guanjun & Cao, Jinde & Lu, Jianquan, 2010. "Outer synchronization between two nonidentical networks with circumstance noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1480-1488.
    2. Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Wang, Jian-an & Ma, Xiaohui & Wen, Xinyu & Sun, Qianlai, 2016. "Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 278-287.
    4. Xia, Yongxiang & Liu, Nianjun & Iu, Herbert H.C., 2009. "Oscillation and chaos in a deterministic traffic network," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1700-1704.
    5. He, Guangming & Yang, Jingyu, 2008. "Adaptive synchronization in nonlinearly coupled dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1254-1259.
    6. Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    7. Gequn, Liu & Zhiguo, Zhan & Knowles, Gareth, 2015. "Design of inner coupling matrix for robustly self-synchronizing networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 68-80.
    8. Lifu Wang & Peng Xue & Zhi Kong & Xingang Wang, 2013. "Locally and Globally Exponential Synchronization of Moving Agent Networks by Adaptive Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    9. Zhen Jia & Guangming Deng, 2012. "Mathematical Model and Cluster Synchronization for a Complex Dynamical Network with Two Types of Chaotic Oscillators," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    10. Zhang, Yinping & Sun, Jitao, 2009. "Robust synchronization of coupled delayed neural networks under general impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1476-1480.
    11. Liu, Tao & Zhao, Jun & Hill, David J., 2009. "Synchronization of complex delayed dynamical networks with nonlinearly coupled nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1506-1519.

    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:2015:y:2015:i:1:n:989201. 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.