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math.SG2026
Symplectic groupoid multiplication and Poisson integrators
Alejandro Cabrera, David Iglesias Ponte, Juan Carlos Marrero
In this paper, we study the role of local symplectic groupoid multiplication in the construction of approximation methods for Hamiltonian flows on the underlying Poisson manifold.…
math-ph2026
Fouling maps and polynomial first integrals from symmetric tensor fields
Rafael Azuaje, Juan Carlos Marrero, Edith Padrón
Under the framework of time-independent Hamiltonian mechanics on the cotangent bundles of the configuration spaces of mechanical systems, we introduce the notion of foul…