5 papers · 1 filter
Stäckel and Eisenhart lifts, Haantjes geometry and Gravitation
OndÅej Kubů, Piergiulio Tempesta
We study lifts of integrable systems by means of generalized Stäckel geometry. To this end, we present the notion of Stäckel lift as a unified setting for the construction of new…
Laurent Sequences, Extended Rota Algebras and Categorical Discretization of Dynamical Systems
Miguel A. Rodriguez, Piergiulio Tempesta
We introduce a novel integrability-preserving discretization for a broad class of differential equations with variable coefficients, encompassing both linear and nonlinear cases. T…
Jacobi-Haantjes manifolds, integrability and dissipative mechanical systems
Rafael Azuaje, Piergiulio Tempesta
The notion of Jacobi-Haantjes manifold, consisting of a Jacobi manifold endowed with an algebra of extended Haantjes operator fields, is proposed as a natural geometric framework w…
Group structure as a foundation for entropies
Henrik Jeldtoft Jensen, Piergiulio Tempesta
Entropy can signify different things: For instance, heat transfer in thermodynamics or a measure of information in data analysis. Many entropies have been introduced and it can be…
A new discretization of the Euler equation via the finite operator theory
Miguel A. RodrÃguez, Piergiulio Tempesta
We propose a novel discretization procedure for the classical Euler equation based on the theory of Galois differential algebras and the finite operator calculus developed by G.C.…