Report
Non linear transformations of non-Hamiltonian dynamical systems into Hamiltonian ones
| العنوان: | Non linear transformations of non-Hamiltonian dynamical systems into Hamiltonian ones |
|---|---|
| المؤلفون: | Cassam-Chenaï, Patrick |
| المساهمون: | Centre National de la Recherche Scientifique (CNRS), Université Côte d'Azur (UCA) |
| المصدر: | https://hal.science/hal-04215419 ; 2023. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2023 |
| المجموعة: | HAL Université Côte d'Azur |
| مصطلحات موضوعية: | Hamiltonian dynamical system, Kermack-McKendrick model, Lotka-Volterra model, Forced Two-level Quantum System, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] |
| الوصف: | 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. |
| نوع الوثيقة: | report |
| اللغة: | English |
| Relation: | hal-04215419; https://hal.science/hal-04215419; https://hal.science/hal-04215419v2/document; https://hal.science/hal-04215419v2/file/syst-hamiltonian-v3-hal.pdf |
| الاتاحة: | https://hal.science/hal-04215419 https://hal.science/hal-04215419v2/document https://hal.science/hal-04215419v2/file/syst-hamiltonian-v3-hal.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.D0A58916 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |