IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v115y2018icp239-247.html
   My bibliography  Save this article

Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling

Author

Listed:
  • Li, Xian-Feng
  • Leung, Andrew Y.T.
  • Jiang, Jun

Abstract

The paper devotes to the synthesis of synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling. Present research shows that, similar to diffusive-coupling, the direct-coupling also admits all synchronized motions. Nevertheless, the synchronized motions are degenerated to the controlled dynamics instead of the pseudo-orbits of the local map. In consideration of chaos synchronization, nonlinear perturbations on the synchronized subspace are employed to perform the synchronization stability analysis. The synchronizability is also surveyed from a different perspective through investigating the synchronization of the coupled chaotic map in the presence of small parameter mismatch. The emergence of mode-locking phenomena in two-dimensional parameter space is secondary but proclaims the existence of incomplete synchronization.

Suggested Citation

  • Li, Xian-Feng & Leung, Andrew Y.T. & Jiang, Jun, 2018. "Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 239-247.
    • Handle: RePEc:eee:chsofr:v:115:y:2018:i:c:p:239-247
    DOI: 10.1016/j.chaos.2018.09.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007791830972X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.09.004?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. W. L. Lu & B. Liu & T. Chen, 2010. "Cluster synchronization in networks of distinct groups of maps," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 77(2), pages 257-264, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yamina Soula & Hadi Jahanshahi & Abdullah A. Al-Barakati & Irene Moroz, 2023. "Dynamics and Global Bifurcations in Two Symmetrically Coupled Non-Invertible Maps," Mathematics, MDPI, vol. 11(6), pages 1-13, March.
    2. Yao, Xiao-Yue & Li, Xian-Feng & Jiang, Jun & Leung, Andrew Y.T., 2022. "Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

    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. 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.

    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:115:y:2018:i:c:p:239-247. 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.