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Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits

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Abstract

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 periodic solutions of those system is presented.

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Authors and Affiliations

  1. Dpto. de Matemática Aplicada, Universidad de Zaragoza, 50009, Zaragoza, Spain

    Eva Tresaco

  2. Dpto. de Matemática Aplicada, Universidad de Murcia, 30071, Espinardo, Spain

    Sebastián Ferrer

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  1. Eva Tresaco
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  2. Sebastián Ferrer
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Correspondence to Eva Tresaco.

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Tresaco, E., Ferrer, S. Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits. Celest Mech Dyn Astr 107, 337–352 (2010). https://doi.org/10.1007/s10569-010-9258-6

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  • DOI: https://doi.org/10.1007/s10569-010-9258-6

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