IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v27y2006i3p673-684.html
   My bibliography  Save this article

Synchronization of two low-dimensional Kerr chains

Author

Listed:
  • Szlachetka, P.
  • Grygiel, K.
  • Misiak, M.

Abstract

Synchronization of two chaotic low-dimensional chains (α1,α2,α3) and (A1,A2,A3) consisting of Kerr oscillators is studied. The synchronization has been achieved by the parallel coupling of α1 with A1, α2 with A2 and α3 with A3. We want to find whether and when the pairs (α1,A1), (α2,A2) and (α3,A3) synchronize non-simultaneously (three-time synchronism). The problem of synchronization is also studied for a number of couplings between the chains lower than the number of oscillators in a single chain. Both the ring and linear geometry of synchronization is investigated. The presented results suggest a possibility of multi-time synchronism in two coupled high-dimensional chains. It seems very promising for design of some devices for advanced signal processing.

Suggested Citation

  • Szlachetka, P. & Grygiel, K. & Misiak, M., 2006. "Synchronization of two low-dimensional Kerr chains," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 673-684.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:3:p:673-684
    DOI: 10.1016/j.chaos.2005.04.091
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007790500411X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.04.091?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. Yu, Yongguang & Zhang, Suochun, 2005. "Global synchronization of three coupled chaotic systems with ring connection," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1233-1242.
    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. Yu, Yongguang, 2008. "Adaptive synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 329-333.
    2. Jana, Debaldev & Pathak, Rachana & Agarwal, Manju, 2016. "On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 252-273.
    3. 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.
    4. Cuimei Jiang & Shutang Liu, 2017. "Synchronization and Antisynchronization of -Coupled Complex Permanent Magnet Synchronous Motor Systems with Ring Connection," Complexity, Hindawi, vol. 2017, pages 1-15, January.
    5. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2007. "Synchronization of complex chaotic systems in series expansion form," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1649-1658.
    6. Yu, Yongguang, 2007. "The synchronization for time-delay of linearly bidirectional coupled chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1197-1203.
    7. Gu, Ya-Qin & Shao, Chun & Fu, Xin-Chu, 2006. "Complete synchronization and stability of star-shaped complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 480-488.
    8. Yu, Yongguang & Li, Han-Xiong & Duan, Jian, 2009. "Chaos synchronization of a unified chaotic system via partial linearization," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 457-463.
    9. Li, Demin & Wang, Zidong & Zhou, Jie & Fang, Jian’an & Ni, Jinjin, 2008. "A note on chaotic synchronization of time-delay secure communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1217-1224.
    10. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 994-1002.
    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.
    12. Liu, Meng & Shao, Yingying & Fu, Xinchu, 2009. "Complete synchronization on multi-layer center dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2584-2591.

    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:eee:chsofr:v:27:y:2006:i:3:p:673-684. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.