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

Tresaco, E. (Universidad de Zaragoza) ; Ferrer, S.

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s10569-010-9258-6

Año: 2010

Publicado en: Celestial Mechanics and Dynamical Astronomy 107, 3 (2010), 337-352
ISSN: 0923-2958

Factor impacto JCR: 1.722 (2010)

Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 15 / 91 = 0.165 (2010) - Q1 - T1
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 28 / 55 = 0.509 (2010) - Q3 - T2

Financiación: info:eu-repo/grantAgreement/ES/MICYT/ESP2005-07107
Financiación: info:eu-repo/grantAgreement/ES/MICYT/MTM2009-10767

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)