IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v360y2006i2p186-196.html
   My bibliography  Save this article

Phase synchronization in bi-directionally coupled chaotic ratchets

Author

Listed:
  • Vincent, U.E.
  • Njah, A.N.
  • Akinlade, O.
  • Solarin, A.R.T.

Abstract

We show the existence of phase synchronization in bi-directionally coupled deterministic chaotic ratchets. The coupled ratchets were simulated in their chaotic states. A transition from a regime where the phases rotate with different velocities to a synchronous state where the phase difference is bounded was observed as the coupling was increased. In addition, the region of synchronization in which the system is permanently phase locked was identified. In this regime, the transverse Lyapunov exponent corresponding to both phases remain positive. Our calculations show that the transition to a synchronized state occurs via a crisis transition to an attractor filling the whole phase space.

Suggested Citation

  • Vincent, U.E. & Njah, A.N. & Akinlade, O. & Solarin, A.R.T., 2006. "Phase synchronization in bi-directionally coupled chaotic ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 186-196.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:2:p:186-196
    DOI: 10.1016/j.physa.2005.06.075
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105007077
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.06.075?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. Mateos, José L, 2003. "Current reversals in chaotic ratchets: the battle of the attractors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 92-100.
    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. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
    2. Wu, Xiang-Jun & Lu, Hong-Tao, 2011. "Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 802-810.

    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. Pingli Lu & Qinghe Wu & Ying Yang, 2013. "Controlling Transport and Synchronization in Non-identical Inertial Ratchets," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 888-899, June.

    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:phsmap:v:360:y:2006:i:2:p:186-196. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.