Dynamics on the cone: closed orbits and superintegrability

Published 11 Oct 2013 in math-ph, math.MP, and quant-ph | (1310.3081v2)

Abstract: The generalization of Bertrand's theorem to the case of the motion of point particle on the surface of a cone is presented. The superintegrability of such models is discussed. The additional integrals of motion are analyzed for the case of Kepler and harmonic oscillator potentials.

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