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Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits
DOI: 10.1007/s10569-010-9258-6
Bibcode: 2010CeMDA.107..337T
Tresaco, Eva; Ferrer, Sebastián
A generalized integrable biparametric family of 4-D isotropic oscillators is proposed. It allows to treat in a unified way, Pöschl-Teller, Hartmann and other ring-shaped systems. This approach, based in the use of two canonical extensions, helps to simplify the studies of classical aspects of those systems. As an illustration, an analysis of the p…
2010
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Celestial Mechanics and Dynamical Astronomy
Cassini
7