Continuous versus discrete structures II -- Discrete Hamiltonian systems and Helmholtz conditions
Numerical Analysis
2015-01-15 v1 Dynamical Systems
Abstract
We define discrete Hamiltonian systems in the framework of discrete embeddings. An explicit comparison with previous attempts is given. We then solve the discrete Helmholtz's inverse problem for the discrete calculus of variation in the Hamiltonian setting. Several applications are discussed.
Keywords
Cite
@article{arxiv.1501.03203,
title = {Continuous versus discrete structures II -- Discrete Hamiltonian systems and Helmholtz conditions},
author = {Jacky Cresson and Frédéric Pierret},
journal= {arXiv preprint arXiv:1501.03203},
year = {2015}
}