IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i22p2900-d679157.html
   My bibliography  Save this article

Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws

Author

Listed:
  • Matteo Gorgone

    (Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, Italy
    These authors contributed equally to this work.)

  • Francesco Oliveri

    (Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, Italy
    These authors contributed equally to this work.)

Abstract

In this paper, within the framework of the consistent approach recently introduced for approximate Lie symmetries of differential equations, we consider approximate Noether symmetries of variational problems involving small terms. Then, we state an approximate Noether theorem leading to the construction of approximate conservation laws. Some illustrative applications are presented.

Suggested Citation

  • Matteo Gorgone & Francesco Oliveri, 2021. "Approximate Noether Symmetries of Perturbed Lagrangians and Approximate Conservation Laws," Mathematics, MDPI, vol. 9(22), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2900-:d:679157
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/22/2900/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/22/2900/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Jin, Shi-Xin & Chen, Xiang-Wei & Li, Yan-Min, 2024. "Approximate Noether theorem and its inverse for nonlinear dynamical systems with approximate nonstandard Lagrangian," Chaos, Solitons & Fractals, Elsevier, vol. 182(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:9:y:2021:i:22:p:2900-:d:679157. 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.