Invariant tori for a class of singly thermostated hamiltonians
Dynamical Systems
2019-08-06 v3
Abstract
This paper demonstrates sufficient conditions for the existence of a positive measure set of invariant KAM tori in a singly thermostated, 1 degree-of-freedom hamiltonian vector field. This result is applied to 4 important single thermostats in the literature and it is shown that in each case, if the hamiltonian is real-analytic and well-behaved, then the thermostated system always has a positive measure set of invariant KAM tori for sufficiently weak coupling and high temperature. This extends results of Legoll, Luskin & Moeckel.
Cite
@article{arxiv.1806.10198,
title = {Invariant tori for a class of singly thermostated hamiltonians},
author = {Leo T. Butler},
journal= {arXiv preprint arXiv:1806.10198},
year = {2019}
}
Comments
27 pages, 8 figures