130491 20240125162931.0 doi 10.1007/s10569-010-9258-6 sideral 72377 ART-2010-72377 eng Tresaco, E. Universidad de Zaragoza (orcid)0000-0003-4859-7224 Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits 2010 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/MICYT/ESP2005-07107 info:eu-repo/grantAgreement/ES/MICYT/MTM2009-10767 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.722 2010 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 15 / 91 = 0.165 2010 Q1 T1 ASTRONOMY & ASTROPHYSICS 28 / 55 = 0.509 2010 Q3 T2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Ferrer, S. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 107, 3 (2010), 337-352 Celest. mech. dyn. astron. Celestial Mechanics and Dynamical Astronomy 0923-2958 2825782 http://zaguan.unizar.es/record/130491/files/texto_completo.pdf Postprint 793833 http://zaguan.unizar.es/record/130491/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130491 articulos driver 2024-01-25-15:15:03 ARTICLE