English

The contact Eden bracket and the evolution of observables

Mathematical Physics 2025-04-02 v1 Differential Geometry math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.2504.00997,
  title  = {The contact Eden bracket and the evolution of observables},
  author = {V. M. Jiménez and M. De León},
  journal= {arXiv preprint arXiv:2504.00997},
  year   = {2025}
}