Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
Mathematical Physics
2015-05-30 v2 Differential Geometry
math.MP
Numerical Analysis
Abstract
The aim of this paper is to study the relationship between Hamiltonian dynamics and constrained variational calculus. We describe both using the notion of Lagrangian submanifolds of convenient symplectic manifolds and using the so-called Tulczyjew's triples. The results are also extended to the case of discrete dynamics and nonholonomic mechanics. Interesting applications to geometrical integration of Hamiltonian systems are obtained.
Cite
@article{arxiv.1108.5570,
title = {Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings},
author = {Manuel de Leon and Fernando Jimenez and David Martin de Diego},
journal= {arXiv preprint arXiv:1108.5570},
year = {2015}
}
Comments
33 pages