Horseshoes for singly thermostated hamiltonians
Chaotic Dynamics
2019-09-09 v1 Statistical Mechanics
Dynamical Systems
Abstract
This note studies 1 and 2 degree of freedom hamiltonian systems that are thermostated by a single-variable thermostat. Under certain conditions on the hamiltonian and thermostat, the existence of a horseshoe in the flow of the thermostated system is proven.
Keywords
Cite
@article{arxiv.1909.02995,
title = {Horseshoes for singly thermostated hamiltonians},
author = {Leo T. Butler},
journal= {arXiv preprint arXiv:1909.02995},
year = {2019}
}
Comments
16 pages; 1 figure