IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i2p209-d721412.html
   My bibliography  Save this article

Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems

Author

Listed:
  • Jaume Giné

    (Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Catalonia, Spain)

  • Jaume Llibre

    (Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Catalonia, Spain)

Abstract

In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x ′ = y , y ′ = − f m ( x ) y − g n ( x ) , where the degrees of the polynomials f and g are m and n , respectively, and we correct some results previously stated.

Suggested Citation

  • Jaume Giné & Jaume Llibre, 2022. "Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems," Mathematics, MDPI, vol. 10(2), pages 1-5, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:209-:d:721412
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/2/209/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/2/209/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Giné, Jaume & Llibre, Jaume, 2022. "A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Giné, Jaume & Llibre, Jaume, 2023. "The solution of the Poincaré problem on the rational first integral for the Liénard polynomial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

    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:10:y:2022:i:2:p:209-:d:721412. 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 (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.