AUTHOREA
Log in Sign Up Browse Preprints

loading page

On the inverse problem in the Hamiltonian formalism for a system of second-order ODEs
  • +2
  • Ahmad Al-Dweik,
  • Marwan Aloqeili,
  • Ivar Ekeland,
  • Gerard Thompson,
  • Fazal Mahomed
Ahmad Al-Dweik
Birzeit University
Author Profile
Marwan Aloqeili
Birzeit University
Author Profile
Ivar Ekeland
Universite Paris Dauphine
Author Profile
Gerard Thompson
The University of Toledo
Author Profile
Fazal Mahomed
University of the Witwatersrand Johannesburg

Corresponding Author:fazal.mahomed@wits.ac.za

Author Profile

Abstract

Two procedures for finding a Hamiltonian for a system of n second-order ODEs, without determining any of its first integrals, are provided. The first procedure is based on the existence of a regular Lagrangian, while the second is based on the existence of a closed invariant two-form of maximal rank. Examples are given to illustrate these procedures.

Peer review status:UNDER REVIEW

12 Sep 2024Submitted to Mathematical Methods in the Applied Sciences
Show details
Hide details
17 Sep 2024Submission Checks Completed
17 Sep 2024Assigned to Editor
20 Sep 2024Review(s) Completed, Editorial Evaluation Pending
04 Oct 2024Reviewer(s) Assigned