2026-04-27T21:22:29Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/400982021-06-24T07:22:11Zcom_10324_22154com_10324_954com_10324_894col_10324_22155

González León, Miguel Ángel Mateos Guilarte, Juan Torre Mayado, Marina de la 2019 Producción Científica Separable Hamiltonian systems either in sphero-conical coordinates on an S2 sphere or in elliptic coordinates on a R2 plane are described in a unified way. A back and forth route connecting these Liouville Type I separable systems is unveiled. It is shown how the gnomonic projection and its inverse map allow us to pass from a Liouville Type I separable system with a spherical configuration space to its Liouville Type I partners where the configuration space is a plane and back. Several selected spherical separable systems and their planar cousins are discussed in a classical context. application/pdf http://uvadoc.uva.es/handle/10324/40098 eng Springer On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere info:eu-repo/semantics/article TEXT UVaDOC. Repositorio Documental de la Universidad de Valladolid Hispana