IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v14y2026i8p1396-d1925252.html

Algebraic Reduction and Periodic Solvability in a Coupled Ternary Rational System

Author

Listed:
  • Ahmed Ghezal

    (Department of Mathematics, Abdelhafid Boussouf University of Mila, Mila 43000, Algeria)

  • Ahmed A. Al Ghafli

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Alahsa, Saudi Arabia)

  • Hassan J. Al Salman

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Alahsa, Saudi Arabia)

Abstract

In this paper, we investigate a new class of three-component nonlinear rational difference equations of the second order characterized by structured periodic interactions. Through a carefully designed algebraic transformation and the introduction of suitable auxiliary sequences, the original nonlinear model is converted into an equivalent periodic scheme of order six. This reformulation enables the complete determination of explicit solution formulas in closed form. We establish precise conditions under which the solutions remain well defined and analytically tractable. A series of illustrative numerical experiments reveals a wide spectrum of dynamical behaviors, ranging from oscillatory patterns to various modes of convergence.

Suggested Citation

  • Ahmed Ghezal & Ahmed A. Al Ghafli & Hassan J. Al Salman, 2026. "Algebraic Reduction and Periodic Solvability in a Coupled Ternary Rational System," Mathematics, MDPI, vol. 14(8), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:14:y:2026:i:8:p:1396-:d:1925252
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/14/8/1396/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/14/8/1396/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:gam:jmathe:v:14:y:2026:i:8:p:1396-:d:1925252. 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: MDPI Indexing Manager The email address of this maintainer does not seem to be valid anymore. Please ask MDPI Indexing Manager to update the entry or send us the correct address (email available below). General contact details of provider: https://www.mdpi.com .

    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.