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

Manuel F. Rañada
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Abstract

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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Manuel F. Rañada. 2005-11-02. A System of n=3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion. https://doi.org/10.3842/sigma.2005.004

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