35 citations · 51 across the 8 of their papers we have counts for
9 papers
The Optimal Reduction of a 2-Body Problem in R^3
Hernán Cendra, María Eugenia García
In this paper we describe optimal reduction for the system of two bodies in whose Hamiltonian is invariant under rotations and translations. In doing this, we introd…
Morse families and Dirac systems
M. Barbero-Liñán, H. Cendra, E. García-Toraño Andrés +1
Dirac structures and Morse families are used to obtain a geometric formalism that unifies most of the scenarios in mechanics (constrained calculus, nonholonomic systems, optimal co…
Finite dimensional thermo-mechanical systems and second order constraints
Hernán Cendra, Sergio Grillo, Maximiliano Palacios Amaya
In this paper we study a class of physical systems that combine a finite number of mechanical and thermodynamic observables. We call them finite dimensional thermo-mechanical syste…
Lagrange-d'Alembert-Poincarè equations by several stages
Hernán Cendra, Viviana Alejandra Díaz
The aim of this paper is to write explicit expression in terms of a given principal connection of the Lagrange-d'Alembert-Poincarè equations in several stages. This is obtained by…
Cartan algorithm and Dirac constraints for Griffiths variational problems
Hernán Cendra, Santiago Capriotti
Dirac algorithm allows to construct Hamiltonian systems for singular systems, and so contributing to its successful quantization. A drawback of this method is that the resulting qu…
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…