A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion

The properties of a system of n = 3 coupled oscillators with linear terms in the velocities (magnetic terms) depending on two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well as the existence of master symmetries and additi...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2005
Main Author: Rañada, M.F.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209356
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion / M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine