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Article Dans Une Revue Open Communications in Nonlinear Mathematical Physics Année : 2024

Simple conditions for the transformation of dynamical coordinates into canonical ones in Hamiltonian dynamics

Résumé

We obtain conditions, which when fulfilled, permit to transform the coordinates of a dynamical system into pairs of canonical ones for some Hamiltonian system. These conditions, restricted to the class of coordinate transformations which act on each coordinate independently, are greatly simplified. However, they are surprisingly successful in defining canonical coordinates and an associated Hamiltonian for several test examples. So, a method is proposed to exploit these simple transformations in a systematic manner.
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Dates et versions

hal-04215419 , version 1 (22-09-2023)
hal-04215419 , version 2 (18-01-2024)
hal-04215419 , version 3 (07-02-2024)
hal-04215419 , version 4 (19-02-2024)

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Patrick Cassam-Chenaï. Simple conditions for the transformation of dynamical coordinates into canonical ones in Hamiltonian dynamics. Open Communications in Nonlinear Mathematical Physics, 2024, 4, pp.13. ⟨10.46298/ocnmp.12890⟩. ⟨hal-04215419v4⟩
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