paper

Horseshoes for singly thermostated hamiltonians

arXiv:1909.02995

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.

16 pages; 1 figure