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Pré-Publication, Document De Travail Année : 2023

Non linear transformations of non-Hamiltonian dynamical systems into Hamiltonian ones

Résumé

We obtain necessary conditions for coordinate transformations to turn a dynamical system into a Hamiltonian one in canonical coordinates. These equations, 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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  • HAL Id : hal-04215419 , version 1

Citer

Patrick Cassam-Chenaï. Non linear transformations of non-Hamiltonian dynamical systems into Hamiltonian ones. 2023. ⟨hal-04215419v1⟩
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