Helmholtz theorem for Hamiltonian systems on time scales
Optimization and Control
2015-07-23 v1
Abstract
We derive the Helmholtz theorem for Hamiltonian systems defined on time scales in the context of nonshifted calculus of variations which encompass the discrete and continuous case. Precisely, we give a theorem characterizing first order equation on time scales, admitting a Hamiltonian formulation which is defined with non-shifted calculus of variation. Moreover, in the affirmative case, we give the associated Hamiltonian.
Cite
@article{arxiv.1410.2076,
title = {Helmholtz theorem for Hamiltonian systems on time scales},
author = {Frédéric Pierret},
journal= {arXiv preprint arXiv:1410.2076},
year = {2015}
}