Contact Hamiltonian systems with nonholonomic constraints
Mathematical Physics
2019-11-14 v1 Differential Geometry
Dynamical Systems
math.MP
Symplectic Geometry
Abstract
In this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so that they satisfy the nonholonomic constraints. We prove that the nonholonomic dynamics can be obtained as a projection of the unconstrained Hamiltonian vector field. Finally, we construct the nonholonomic bracket, which is an almost Jacobi bracket on the space of observables and provides the nonholonomic dynamics.
Cite
@article{arxiv.1911.05409,
title = {Contact Hamiltonian systems with nonholonomic constraints},
author = {Manuel de León and Víctor Manuel Jiménez and Manuel Lainz Valcázar},
journal= {arXiv preprint arXiv:1911.05409},
year = {2019}
}