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

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

2005-11-02

arxiv.org/abs/nlin/0511007v1

SIGMA 1 (2005), 004, 7 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2005.004

The properties of a system of n = 3 coupled oscillators with linear terms in the velocities (magnetic terms) depending in two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well the existence of master symmetries and additional integrals of motion (weak superintegrability) for certain particular values of the parameters.

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