10 citations · 15 across the 8 of their papers we have counts for
5 papers · 1 filter
On the Geometry of the Hamilton-Jacobi Equation and Generating Functions
Sebastián Ferraro, Manuel de León, Juan Carlos Marrero +2
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting. Specifically, we "geometrize" what is usually called a complete solution of the…
New developments on the Geometric Nonholonomic Integrator
Sebastián Ferraro, Fernando Jiménez, David Martín de Diego
In this paper, we will discuss new developments regarding the Geometric Nonholonomic Integrator (GNI) [23, 24]. GNI is a discretization scheme adapted to nonholonomic mechanical sy…
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems
Hernán Cendra, María Etchechoury, Sebastián J. Ferraro
This paper extends the Gotay-Nester and the Dirac theories of constrained systems in order to deal with Dirac dynamical systems in the integrable case. Integrable Dirac dynamical s…
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems
Hernán Cendra, María Etchechoury, Sebastián J. Ferraro
This paper extends the Gotay-Nester and the Dirac theories of constrained systems in order to deal with Dirac dynamical systems in the integrable case. Integrable Dirac dynamical s…
Simulating Nonholonomic Dynamics
M. Kobilarov, D. Martín de Diego, S. Ferraro
This paper develops different discretization schemes for nonholonomic mechanical systems through a discrete geometric approach. The proposed methods are designed to account for the…