IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v395y2014icp112-120.html
   My bibliography  Save this article

Selection of minimal length of line in recurrence quantification analysis

Author

Listed:
  • Babaei, Behzad
  • Zarghami, Reza
  • Sedighikamal, Hossein
  • Sotudeh-Gharebagh, Rahmat
  • Mostoufi, Navid

Abstract

A qualitative analysis along with mathematical description was made on the selection of the optimal minimal length of line, lmin, a crucial parameter in the recurrence quantification analysis (RQA). The optimum minimal length of line is defined as a value that enhances the capability of RQA variables (determinism, in this paper) to distinguish between different dynamic states of a system. It was shown that the determinism of the Lorenz time series has a normal distribution. The results indicated that the lowest possible value of the minimal length of line (i.e., lmin=2) is the best choice. This value provides the highest differentiation for determinism of the time series obtained from different dynamic states of the Lorenz system. The applicability of the results was verified by examining determinism for monitoring the fluidization hydrodynamics.

Suggested Citation

  • Babaei, Behzad & Zarghami, Reza & Sedighikamal, Hossein & Sotudeh-Gharebagh, Rahmat & Mostoufi, Navid, 2014. "Selection of minimal length of line in recurrence quantification analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 112-120.
    • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:112-120
    DOI: 10.1016/j.physa.2013.10.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113009886
    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.2013.10.016?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.

    Citations

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


    Cited by:

    1. Adhami, Mohsen & Jamshidi, Niloufar & Zarghami, Reza & Mostoufi, Navid, 2018. "Characterization of hydrodynamics of bubble columns by recurrence quantification analysis," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 213-226.

    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:395:y:2014:i:c:p:112-120. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.