33 citations · 89 across the 22 of their papers we have counts for
22 papers
Variational reduction of homogenous Lagrangian systems
Javier Fernández, Sergio Grillo, Juan Carlos Marrero +1
In this paper we show that a variational reduction procedure can be defined for Lagrangian systems subject to scaling symmetries (i.e. Lagrangian systems defined by a homogenous La…
The universal logic of repeated experiments
Sergio Daniel Grillo
Let be the event space of an experiment that can be indefinitely repeated. A natural question arises: given a countable cardinal , which is the event space of the $…
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries
A. Bravetti, S. Grillo, J. C. Marrero +1
In this paper, we discuss the reduction of symplectic Hamiltonian systems by scaling and standard symmetries which commute. We prove that such a reduction process produces a so-cal…
Extended Hamilton-Jacobi Theory, symmetries and integrability by quadratures
Sergio Grillo, Juan Carlos Marrero, Edith Padrón
In this paper, we study the extended Hamilton-Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group on a manifold and a -inva…
Error analysis of forced discrete mechanical systems
Javier Fernández, Sebastián Elías Graiff Zurita, Sergio Grillo
The purpose of this paper is to perform an error analysis of the variational integrators of mechanical systems subject to external forcing. Essentially, we prove that when a discre…
Extended Hamilton-Jacobi theory, contact manifolds and integrability by quadratures
S. Grillo, E. Padrón
A Hamilton-Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper we shall apply such a theory to contact Hamilton…