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math-ph2024
A Frobenius-type theory for discrete systems
Daniel Reyes, Miguel A. Rodríguez, 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…
math-ph2024★ 1 cited
Hamiltonian integrable systems in a magnetic field and Symplectic-Haantjes geometry
Ondřej 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…