4 papers · 1 filter
Superintegrable families of magnetic monopoles with non-radial potential in curved background
Antonella Marchesiello, Daniel Reyes, Libor Å nobl
We review some known results on the superintegrability of monopole systems in the three-dimensional (3D) Euclidean space and in the 3D generalized Taub-NUT spaces. We show that the…
A Frobenius-type theory for discrete systems
Daniel Reyes, Miguel A. RodrÃguez, Piergiulio Tempesta
We develop an approach analogous to classical Frobenius theory for the analysis of singularities of ODEs in the case of discrete dynamical systems. Our methodology is based on the…
Partial separability and symplectic-Haantjes manifolds
Daniel Reyes, Piergiulio Tempesta, Giorgio Tondo
A theory of partial separability for classical Hamiltonian systems is proposed in the context of Haantjes geometry. As a general result, we show that the knowledge of a non-semisim…
Hamiltonian integrable systems in a magnetic field and Symplectic-Haantjes geometry
OndÅej Kubů, Daniel Reyes, Piergiulio Tempesta +1
We investigate the geometry of classical Hamiltonian systems immersed in a magnetic field in three-dimensional Riemannian configuration spaces. We prove that these systems admit no…