The contact Eden bracket and the evolution of observables

Fuente: arXiv
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Main Authors: Jiménez, V. M., De León, M.
Format: Preprint
Published: 2025
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author Jiménez, V. M.
De León, M.
author_facet Jiménez, V. M.
De León, M.
contents In this paper we discuss nonholonomic contact Lagrangian and Hamiltonian systems, that is, systems with a kind of dissipation that are also subject to nonholonomic constraints. We introduce the so-called contact Eden bracket that allows us to obtain the evolution of any observable. Finally, we present a particular vector subspace of observables where the dynamics remain unconstrained.
format Preprint
id arxiv_https___arxiv_org_abs_2504_00997
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The contact Eden bracket and the evolution of observables
Jiménez, V. M.
De León, M.
Mathematical Physics
Differential Geometry
53D10, 70H45
In this paper we discuss nonholonomic contact Lagrangian and Hamiltonian systems, that is, systems with a kind of dissipation that are also subject to nonholonomic constraints. We introduce the so-called contact Eden bracket that allows us to obtain the evolution of any observable. Finally, we present a particular vector subspace of observables where the dynamics remain unconstrained.
title The contact Eden bracket and the evolution of observables
topic Mathematical Physics
Differential Geometry
53D10, 70H45
url https://arxiv.org/abs/2504.00997