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

• 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
• 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.

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...