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Public Documents
1
On the inverse problem in the Hamiltonian formalism for a system of second-order ODEs
Ahmad Al-Dweik
and 4 more
September 17, 2024
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.
