Formulation of Stochastic Contact Hamiltonian Systems
Dynamical Systems
2021-04-21 v1
Abstract
In this work we devise a stochastic version of contact Hamiltonian systems, and show that the phase flows of these systems preserve contact structures. Moreover, we provide a sufficient condition under which these stochastic contact Hamiltonian systems are completely integrable. This establishes an appropriate framework for investigating stochastic contact Hamiltonian systems.
Keywords
Cite
@article{arxiv.2102.08837,
title = {Formulation of Stochastic Contact Hamiltonian Systems},
author = {Pingyuan Wei and Zibo Wang},
journal= {arXiv preprint arXiv:2102.08837},
year = {2021}
}